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97836840 = 23325271769
BaseRepresentation
bin1011101010011…
…01111100101000
320211002121220200
411311031330220
5200021234330
613412552200
72265412413
oct565157450
9224077820
1097836840
11502542a2
1228922660
131736702a
14cdcab7a
1588c8a60
hex5d4df28

97836840 has 48 divisors (see below), whose sum is σ = 317970900. Its totient is φ = 26089728.

The previous prime is 97836811. The next prime is 97836847. The reversal of 97836840 is 4863879.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 91814724 + 6022116 = 9582^2 + 2454^2 .

It is a super-2 number, since 2×978368402 = 19144094522371200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (97836847) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 135525 + ... + 136244.

Almost surely, 297836840 is an apocalyptic number.

97836840 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

97836840 is an abundant number, since it is smaller than the sum of its proper divisors (220134060).

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

97836840 is a wasteful number, since it uses less digits than its factorization.

97836840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271786 (or 271779 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 97836840 is about 9891.2506792620. The cubic root of 97836840 is about 460.7876235464.

The spelling of 97836840 in words is "ninety-seven million, eight hundred thirty-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 271769 543538 815307 1087076 1358845 1630614 2174152 2445921 2717690 3261228 4076535 4891842 5435380 6522456 8153070 9783684 10870760 12229605 16306140 19567368 24459210 32612280 48918420 97836840