Search a number
-
+
117622736 = 24721123593
BaseRepresentation
bin1110000001011…
…00011111010000
322012022212001122
413000230133100
5220102411421
615401021412
72625530300
oct700543720
9265285048
10117622736
1160438780
1233484868
131b4a3b6a
141189b600
15a4d62ab
hex702c7d0

117622736 has 120 divisors (see below), whose sum is σ = 302284224. Its totient is φ = 43760640.

The previous prime is 117622723. The next prime is 117622751. The reversal of 117622736 is 637226711.

It is a junction number, because it is equal to n+sod(n) for n = 117622696 and 117622705.

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, 198056 + ... + 198648.

Almost surely, 2117622736 is an apocalyptic number.

117622736 is a gapful number since it is divisible by the number (16) 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 117622736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151142112).

117622736 is an abundant number, since it is smaller than the sum of its proper divisors (184661488).

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

117622736 is a wasteful number, since it uses less digits than its factorization.

117622736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 636 counting only the distinct ones).

The product of its digits is 21168, while the sum is 35.

The square root of 117622736 is about 10845.4016062108. The cubic root of 117622736 is about 489.9635347013.

The spelling of 117622736 in words is "one hundred seventeen million, six hundred twenty-two thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 23 28 44 46 49 56 77 88 92 98 112 154 161 176 184 196 253 308 322 368 392 506 539 593 616 644 784 1012 1078 1127 1186 1232 1288 1771 2024 2156 2254 2372 2576 3542 4048 4151 4312 4508 4744 6523 7084 8302 8624 9016 9488 12397 13046 13639 14168 16604 18032 24794 26092 27278 28336 29057 33208 45661 49588 52184 54556 58114 66416 91322 95473 99176 104368 109112 116228 150029 182644 190946 198352 218224 232456 300058 319627 365288 381892 464912 600116 639254 668311 730576 763784 1050203 1200232 1278508 1336622 1527568 2100406 2400464 2557016 2673244 4200812 5114032 5346488 7351421 8401624 10692976 14702842 16803248 29405684 58811368 117622736