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97499040 = 2535229887
BaseRepresentation
bin1011100111110…
…11011110100000
320210110110112120
411303323132200
5144424432130
613401424240
72262504522
oct563733640
9223413476
1097499040
1150043521
122879b080
1317279352
14cd3da12
15885d910
hex5cfb7a0

97499040 has 96 divisors (see below), whose sum is σ = 308810880. Its totient is φ = 25857024.

The previous prime is 97499011. The next prime is 97499053. The reversal of 97499040 is 4099479.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 97498983 and 97499001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109477 + ... + 110363.

It is an arithmetic number, because the mean of its divisors is an integer number (3216780).

Almost surely, 297499040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97499040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154405440).

97499040 is an abundant number, since it is smaller than the sum of its proper divisors (211311840).

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

97499040 is a wasteful number, since it uses less digits than its factorization.

97499040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 97499040 is about 9874.1602174565. The cubic root of 97499040 is about 460.2566935298.

The spelling of 97499040 in words is "ninety-seven million, four hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 229 240 458 480 687 887 916 1145 1374 1774 1832 2290 2661 2748 3435 3548 3664 4435 4580 5322 5496 6870 7096 7328 8870 9160 10644 10992 13305 13740 14192 17740 18320 21288 21984 26610 27480 28384 35480 36640 42576 53220 54960 70960 85152 106440 109920 141920 203123 212880 406246 425760 609369 812492 1015615 1218738 1624984 2031230 2437476 3046845 3249968 4062460 4874952 6093690 6499936 8124920 9749904 12187380 16249840 19499808 24374760 32499680 48749520 97499040