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117707920 = 24511181739
BaseRepresentation
bin1110000010000…
…01010010010000
322012111011220121
413001001102100
5220113123140
615402520024
72626333531
oct701012220
9265434817
10117707920
1160496780
1233506014
131b503875
14118c0688
15a50164a
hex7041490

117707920 has 80 divisors (see below), whose sum is σ = 300605760. Its totient is φ = 42508800.

The previous prime is 117707917. The next prime is 117707923. The reversal of 117707920 is 29707711.

It is an interprime number because it is at equal distance from previous prime (117707917) and next prime (117707923).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117707923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158911 + ... + 159649.

It is an arithmetic number, because the mean of its divisors is an integer number (3757572).

Almost surely, 2117707920 is an apocalyptic number.

117707920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150302880).

117707920 is an abundant number, since it is smaller than the sum of its proper divisors (182897840).

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

117707920 is a wasteful number, since it uses less digits than its factorization.

117707920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 34.

The square root of 117707920 is about 10849.3280897943. The cubic root of 117707920 is about 490.0817855988.

The spelling of 117707920 in words is "one hundred seventeen million, seven hundred seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 181 220 362 440 724 739 880 905 1448 1478 1810 1991 2896 2956 3620 3695 3982 5912 7240 7390 7964 8129 9955 11824 14480 14780 15928 16258 19910 29560 31856 32516 39820 40645 59120 65032 79640 81290 130064 133759 159280 162580 267518 325160 535036 650320 668795 1070072 1337590 1471349 2140144 2675180 2942698 5350360 5885396 7356745 10700720 11770792 14713490 23541584 29426980 58853960 117707920