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96974370 = 23251815953
BaseRepresentation
bin1011100011110…
…11011000100010
320202110210211100
411301323120202
5144311134440
613342255230
72255161053
oct561733042
9222423740
1096974370
114a815309
1228587516
13171245ac
14cc4472a
1587a8230
hex5c7b622

96974370 has 48 divisors (see below), whose sum is σ = 253568952. Its totient is φ = 25712640.

The previous prime is 96974363. The next prime is 96974387. The reversal of 96974370 is 7347969.

It can be written as a sum of positive squares in 4 ways, for example, as 16136289 + 80838081 = 4017^2 + 8991^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 13314 + ... + 19266.

Almost surely, 296974370 is an apocalyptic number.

96974370 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 96974370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126784476).

96974370 is an abundant number, since it is smaller than the sum of its proper divisors (156594582).

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

96974370 is a wasteful number, since it uses less digits than its factorization.

96974370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147 (or 6144 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 96974370 is about 9847.5565497234. The cubic root of 96974370 is about 459.4296175515.

It can be divided in two parts, 96974 and 370, that added together give a square (97344 = 3122).

The spelling of 96974370 in words is "ninety-six million, nine hundred seventy-four thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 181 362 543 905 1086 1629 1810 2715 3258 5430 5953 8145 11906 16290 17859 29765 35718 53577 59530 89295 107154 178590 267885 535770 1077493 2154986 3232479 5387465 6464958 9697437 10774930 16162395 19394874 32324790 48487185 96974370