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117577040 = 2457209959
BaseRepresentation
bin1110000001000…
…01010101010000
322012020112101012
413000201111100
5220044431130
615400030052
72625250130
oct700412520
9265215335
10117577040
1160407409
1233462328
131b489119
1411888ac0
15a4c7995
hex7021550

117577040 has 40 divisors (see below), whose sum is σ = 312420480. Its totient is φ = 40311936.

The previous prime is 117577039. The next prime is 117577067. The reversal of 117577040 is 40775711.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 117576988 and 117577006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104420 + ... + 105539.

It is an arithmetic number, because the mean of its divisors is an integer number (7810512).

Almost surely, 2117577040 is an apocalyptic number.

117577040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

117577040 is an abundant number, since it is smaller than the sum of its proper divisors (194843440).

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

117577040 is a wasteful number, since it uses less digits than its factorization.

117577040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209979 (or 209973 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 32.

The square root of 117577040 is about 10843.2947022572. The cubic root of 117577040 is about 489.9000768063.

The spelling of 117577040 in words is "one hundred seventeen million, five hundred seventy-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 209959 419918 839836 1049795 1469713 1679672 2099590 2939426 3359344 4199180 5878852 7348565 8398360 11757704 14697130 16796720 23515408 29394260 58788520 117577040