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20047920 = 2435103811
BaseRepresentation
bin100110001111…
…0100000110000
31101201112120120
41030132200300
520113013140
61553410240
7332255514
oct114364060
941645516
1020047920
1110353332
126869980
1341cc199
14293c144
151b601d0
hex131e830

20047920 has 80 divisors (see below), whose sum is σ = 62829312. Its totient is φ = 5287680.

The previous prime is 20047919. The next prime is 20047921. The reversal of 20047920 is 2974002.

It is an interprime number because it is at equal distance from previous prime (20047919) and next prime (20047921).

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (20047921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24315 + ... + 25125.

Almost surely, 220047920 is an apocalyptic number.

20047920 is a gapful number since it is divisible by the number (20) 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 20047920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31414656).

20047920 is an abundant number, since it is smaller than the sum of its proper divisors (42781392).

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

20047920 is a wasteful number, since it uses less digits than its factorization.

20047920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 930 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20047920 is about 4477.4903684989. The cubic root of 20047920 is about 271.6583802324.

The spelling of 20047920 in words is "twenty million, forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 206 240 309 412 515 618 811 824 1030 1236 1545 1622 1648 2060 2433 2472 3090 3244 4055 4120 4866 4944 6180 6488 8110 8240 9732 12165 12360 12976 16220 19464 24330 24720 32440 38928 48660 64880 83533 97320 167066 194640 250599 334132 417665 501198 668264 835330 1002396 1252995 1336528 1670660 2004792 2505990 3341320 4009584 5011980 6682640 10023960 20047920