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117451392 = 2732953199
BaseRepresentation
bin1110000000000…
…10101010000000
322012000011000120
413000002222000
5220031421032
615353220240
72624214612
oct700025200
9265004016
10117451392
1160330a73
1233401680
131b443b86
1411854db2
15a4a062c
hex7002a80

117451392 has 128 divisors (see below), whose sum is σ = 330480000. Its totient is φ = 36900864.

The previous prime is 117451381. The next prime is 117451393. The reversal of 117451392 is 293154711.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (117451393) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590109 + ... + 590307.

It is an arithmetic number, because the mean of its divisors is an integer number (2581875).

Almost surely, 2117451392 is an apocalyptic number.

117451392 is a gapful number since it is divisible by the number (12) 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 117451392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165240000).

117451392 is an abundant number, since it is smaller than the sum of its proper divisors (213028608).

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

117451392 is a wasteful number, since it uses less digits than its factorization.

117451392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 286 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 117451392 is about 10837.4993425605. The cubic root of 117451392 is about 489.7255050116.

The spelling of 117451392 in words is "one hundred seventeen million, four hundred fifty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 64 87 96 106 116 128 159 174 192 199 212 232 318 348 384 398 424 464 597 636 696 796 848 928 1194 1272 1392 1537 1592 1696 1856 2388 2544 2784 3074 3184 3392 3712 4611 4776 5088 5568 5771 6148 6368 6784 9222 9552 10176 10547 11136 11542 12296 12736 17313 18444 19104 20352 21094 23084 24592 25472 31641 34626 36888 38208 42188 46168 49184 63282 69252 73776 76416 84376 92336 98368 126564 138504 147552 168752 184672 196736 253128 277008 295104 305863 337504 369344 506256 554016 590208 611726 675008 738688 917589 1012512 1108032 1223452 1350016 1835178 2025024 2216064 2446904 3670356 4050048 4893808 7340712 9787616 14681424 19575232 29362848 39150464 58725696 117451392