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97424040 = 23357115981
BaseRepresentation
bin1011100111010…
…01001010101000
320210022122122210
411303221022220
5144420032130
613400045120
72262043050
oct563511250
9223278583
1097424040
114aaa213a
12287637a0
131725117c
14cd20560
1588465b0
hex5ce92a8

97424040 has 64 divisors (see below), whose sum is σ = 334028160. Its totient is φ = 22268160.

The previous prime is 97424029. The next prime is 97424083. The reversal of 97424040 is 4042479.

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 = 97423989 and 97424007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57151 + ... + 58830.

It is an arithmetic number, because the mean of its divisors is an integer number (5219190).

Almost surely, 297424040 is an apocalyptic number.

It is an amenable number.

97424040 is an abundant number, since it is smaller than the sum of its proper divisors (236604120).

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

97424040 is a wasteful number, since it uses less digits than its factorization.

97424040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116002 (or 115998 counting only the distinct ones).

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

The square root of 97424040 is about 9870.3616955003. The cubic root of 97424040 is about 460.1386475573.

The spelling of 97424040 in words is "ninety-seven million, four hundred twenty-four thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 115981 231962 347943 463924 579905 695886 811867 927848 1159810 1391772 1623734 1739715 2319620 2435601 2783544 3247468 3479430 4059335 4639240 4871202 6494936 6958860 8118670 9742404 12178005 13917720 16237340 19484808 24356010 32474680 48712020 97424040