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97402440 = 23357311119
BaseRepresentation
bin1011100111000…
…11111001001000
320210021120000210
411303203321020
5144413334230
613355401120
72261623062
oct563437110
9223246023
1097402440
114aa87993
12287531a0
13172443a5
14cd16732
15883eeb0
hex5ce3e48

97402440 has 64 divisors (see below), whose sum is σ = 296236800. Its totient is φ = 25615872.

The previous prime is 97402427. The next prime is 97402457. The reversal of 97402440 is 4420479.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 97402398 and 97402407.

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, 3201 + ... + 14319.

It is an arithmetic number, because the mean of its divisors is an integer number (4628700).

Almost surely, 297402440 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 97402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148118400).

97402440 is an abundant number, since it is smaller than the sum of its proper divisors (198834360).

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

97402440 is a wasteful number, since it uses less digits than its factorization.

97402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11206 (or 11202 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 97402440 is about 9869.2674500188. The cubic root of 97402440 is about 460.1046390812.

The spelling of 97402440 in words is "ninety-seven million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 11119 22238 33357 44476 55595 66714 88952 111190 133428 166785 222380 266856 333570 444760 667140 811687 1334280 1623374 2435061 3246748 4058435 4870122 6493496 8116870 9740244 12175305 16233740 19480488 24350610 32467480 48701220 97402440