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100974080 = 29539443
BaseRepresentation
bin1100000010010…
…11111000000000
321001000000101202
412001023320000
5201322132310
614004120332
72334160034
oct601137000
9231000352
10100974080
1151aa7359
12299960a8
1317bc4c9c
14d5a61c4
158ce83a5
hex604be00

100974080 has 40 divisors (see below), whose sum is σ = 242107272. Its totient is φ = 40388608.

The previous prime is 100974077. The next prime is 100974089. The reversal of 100974080 is 80479001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100974089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17162 + ... + 22281.

Almost surely, 2100974080 is an apocalyptic number.

100974080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100974080 is an abundant number, since it is smaller than the sum of its proper divisors (141133192).

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

100974080 is an frugal number, since it uses more digits than its factorization.

100974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39466 (or 39450 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 100974080 is about 10048.5859701751. The cubic root of 100974080 is about 465.6611091916.

The spelling of 100974080 in words is "one hundred million, nine hundred seventy-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 39443 78886 157772 197215 315544 394430 631088 788860 1262176 1577720 2524352 3155440 5048704 6310880 10097408 12621760 20194816 25243520 50487040 100974080