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115792992 = 25327193023
BaseRepresentation
bin1101110011011…
…01110001100000
322001212220010100
412321231301200
5214120333432
615253502400
72604136620
oct671556140
9261786110
10115792992
115a3a8a97
1232941a00
131acb3083
1411542880
15a27407c
hex6e6dc60

115792992 has 144 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 31332096.

The previous prime is 115792961. The next prime is 115793033. The reversal of 115792992 is 299297511.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36793 + ... + 39815.

It is an arithmetic number, because the mean of its divisors is an integer number (2751840).

Almost surely, 2115792992 is an apocalyptic number.

115792992 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 115792992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

115792992 is an abundant number, since it is smaller than the sum of its proper divisors (280471968).

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

115792992 is a wasteful number, since it uses less digits than its factorization.

115792992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3065 (or 3054 counting only the distinct ones).

The product of its digits is 102060, while the sum is 45.

The square root of 115792992 is about 10760.7152178654. The cubic root of 115792992 is about 487.4096148013.

It can be divided in two parts, 1157 and 92992, that added together give a palindrome (94149).

The spelling of 115792992 in words is "one hundred fifteen million, seven hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 28 32 36 38 42 48 56 57 63 72 76 84 96 112 114 126 133 144 152 168 171 224 228 252 266 288 304 336 342 399 456 504 532 608 672 684 798 912 1008 1064 1197 1368 1596 1824 2016 2128 2394 2736 3023 3192 4256 4788 5472 6046 6384 9069 9576 12092 12768 18138 19152 21161 24184 27207 36276 38304 42322 48368 54414 57437 63483 72552 84644 96736 108828 114874 126966 145104 169288 172311 190449 217656 229748 253932 290208 338576 344622 380898 402059 435312 459496 507864 516933 677152 689244 761796 804118 870624 918992 1015728 1033866 1206177 1378488 1523592 1608236 1837984 2031456 2067732 2412354 2756976 3047184 3216472 3618531 4135464 4824708 5513952 6094368 6432944 7237062 8270928 9649416 12865888 14474124 16541856 19298832 28948248 38597664 57896496 115792992