Search a number
-
+
151775712 = 253211232083
BaseRepresentation
bin10010000101111…
…10100111100000
3101120121000010200
421002332213200
5302323310322
623021025200
73522033534
oct1102764740
9346530120
10151775712
1178745380
12429b5200
13255a121a
141622bbc4
15d4d08ac
hex90be9e0

151775712 has 144 divisors (see below), whose sum is σ = 491557248. Its totient is φ = 43971840.

The previous prime is 151775707. The next prime is 151775731. The reversal of 151775712 is 217577151.

151775712 is a `hidden beast` number, since 1 + 517 + 75 + 71 + 2 = 666.

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71823 + ... + 73905.

It is an arithmetic number, because the mean of its divisors is an integer number (3413592).

Almost surely, 2151775712 is an apocalyptic number.

151775712 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 151775712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245778624).

151775712 is an abundant number, since it is smaller than the sum of its proper divisors (339781536).

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

151775712 is a wasteful number, since it uses less digits than its factorization.

151775712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2122 counting only the distinct ones).

The product of its digits is 17150, while the sum is 36.

The square root of 151775712 is about 12319.7285684385. The cubic root of 151775712 is about 533.4177047076.

The spelling of 151775712 in words is "one hundred fifty-one million, seven hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 23 24 32 33 36 44 46 48 66 69 72 88 92 96 99 132 138 144 176 184 198 207 253 264 276 288 352 368 396 414 506 528 552 736 759 792 828 1012 1056 1104 1518 1584 1656 2024 2083 2208 2277 3036 3168 3312 4048 4166 4554 6072 6249 6624 8096 8332 9108 12144 12498 16664 18216 18747 22913 24288 24996 33328 36432 37494 45826 47909 49992 66656 68739 72864 74988 91652 95818 99984 137478 143727 149976 183304 191636 199968 206217 274956 287454 299952 366608 383272 412434 431181 526999 549912 574908 599904 733216 766544 824868 862362 1053998 1099824 1149816 1533088 1580997 1649736 1724724 2107996 2199648 2299632 3161994 3299472 3449448 4215992 4599264 4742991 6323988 6598944 6898896 8431984 9485982 12647976 13797792 16863968 18971964 25295952 37943928 50591904 75887856 151775712