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117703920 = 24351721697
BaseRepresentation
bin1110000010000…
…00010011110000
322012110222102110
413001000103300
5220113011140
615402445320
72626316055
oct701002360
9265428373
10117703920
1160493774
1233503840
131b501ab9
14118bd02c
15a500380
hex70404f0

117703920 has 120 divisors (see below), whose sum is σ = 387836784. Its totient is φ = 29523968.

The previous prime is 117703913. The next prime is 117703921. The reversal of 117703920 is 29307711.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117703921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68512 + ... + 70208.

Almost surely, 2117703920 is an apocalyptic number.

117703920 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 117703920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193918392).

117703920 is an abundant number, since it is smaller than the sum of its proper divisors (270132864).

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

117703920 is a wasteful number, since it uses less digits than its factorization.

117703920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 117703920 is about 10849.1437450151. The cubic root of 117703920 is about 490.0762341475.

The spelling of 117703920 in words is "one hundred seventeen million, seven hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 289 340 408 510 578 680 816 867 1020 1156 1360 1445 1697 1734 2040 2312 2890 3394 3468 4080 4335 4624 5091 5780 6788 6936 8485 8670 10182 11560 13576 13872 16970 17340 20364 23120 25455 27152 28849 33940 34680 40728 50910 57698 67880 69360 81456 86547 101820 115396 135760 144245 173094 203640 230792 288490 346188 407280 432735 461584 490433 576980 692376 865470 980866 1153960 1384752 1471299 1730940 1961732 2307920 2452165 2942598 3461880 3923464 4904330 5885196 6923760 7356495 7846928 9808660 11770392 14712990 19617320 23540784 29425980 39234640 58851960 117703920