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3899077920 = 2532523311621
BaseRepresentation
bin1110100001100111…
…0011010100100000
3101001201210200101100
43220121303110200
530441130443140
61442522434400
7165423421053
oct35031632440
911051720340
103899077920
111720a22a51
12909962a00
134a1a472ca
1428dba2a9a
1517c48c530
hexe8673520

3899077920 has 144 divisors (see below), whose sum is σ = 13363858872. Its totient is φ = 1035202560.

The previous prime is 3899077909. The next prime is 3899077937. The reversal of 3899077920 is 297709983.

It can be written as a sum of positive squares in 4 ways, for example, as 1593925776 + 2305152144 = 39924^2 + 48012^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 329710 + ... + 341330.

Almost surely, 23899077920 is an apocalyptic number.

3899077920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3899077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6681929436).

3899077920 is an abundant number, since it is smaller than the sum of its proper divisors (9464780952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3899077920 is a wasteful number, since it uses less digits than its factorization.

3899077920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11875 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The square root of 3899077920 is about 62442.5969991640. The cubic root of 3899077920 is about 1573.9368547091.

The spelling of 3899077920 in words is "three billion, eight hundred ninety-nine million, seventy-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 233 240 288 360 466 480 699 720 932 1165 1398 1440 1864 2097 2330 2796 3495 3728 4194 4660 5592 6990 7456 8388 9320 10485 11184 11621 13980 16776 18640 20970 22368 23242 27960 33552 34863 37280 41940 46484 55920 58105 67104 69726 83880 92968 104589 111840 116210 139452 167760 174315 185936 209178 232420 278904 335520 348630 371872 418356 464840 522945 557808 697260 836712 929680 1045890 1115616 1394520 1673424 1859360 2091780 2707693 2789040 3346848 4183560 5415386 5578080 8123079 8367120 10830772 13538465 16246158 16734240 21661544 24369237 27076930 32492316 40615395 43323088 48738474 54153860 64984632 81230790 86646176 97476948 108307720 121846185 129969264 162461580 194953896 216615440 243692370 259938528 324923160 389907792 433230880 487384740 649846320 779815584 974769480 1299692640 1949538960 3899077920