Search a number
-
+
117456024 = 233719311187
BaseRepresentation
bin1110000000000…
…11110010011000
322012000101101010
413000003302120
5220032043044
615353253520
72624234250
oct700036230
9265011333
10117456024
11603344a4
12334042a0
131b44600a
1411856960
15a4a1bb9
hex7003c98

117456024 has 128 divisors (see below), whose sum is σ = 364953600. Its totient is φ = 30741120.

The previous prime is 117455983. The next prime is 117456029. The reversal of 117456024 is 420654711.

It is a junction number, because it is equal to n+sod(n) for n = 117455982 and 117456000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117456029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98359 + ... + 99545.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2117456024 is an apocalyptic number.

117456024 is a gapful number since it is divisible by the number (14) 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 117456024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182476800).

117456024 is an abundant number, since it is smaller than the sum of its proper divisors (247497576).

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

117456024 is a wasteful number, since it uses less digits than its factorization.

117456024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 117456024 is about 10837.7130428887. The cubic root of 117456024 is about 489.7319427918.

The spelling of 117456024 in words is "one hundred seventeen million, four hundred fifty-six thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 31 38 42 56 57 62 76 84 93 114 124 133 152 168 186 217 228 248 266 372 399 434 456 532 589 651 744 798 868 1064 1178 1187 1302 1596 1736 1767 2356 2374 2604 3192 3534 3561 4123 4712 4748 5208 7068 7122 8246 8309 9496 12369 14136 14244 16492 16618 22553 24738 24927 28488 32984 33236 36797 45106 49476 49854 66472 67659 73594 90212 98952 99708 110391 135318 147188 157871 180424 199416 220782 257579 270636 294376 315742 441564 473613 515158 541272 631484 699143 772737 883128 947226 1030316 1262968 1398286 1545474 1894452 2060632 2097429 2796572 3090948 3788904 4194858 4894001 5593144 6181896 8389716 9788002 14682003 16779432 19576004 29364006 39152008 58728012 117456024