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151466056 = 2373172191
BaseRepresentation
bin10010000011100…
…11000001001000
3101120000021100221
421001303001020
5302233403211
623010235424
73516304000
oct1101630110
9346007327
10151466056
1178553765
1242885b74
13254c32b1
141618b000
15d46dc71
hex9073048

151466056 has 96 divisors (see below), whose sum is σ = 353664000. Its totient is φ = 60775680.

The previous prime is 151466047. The next prime is 151466059. The reversal of 151466056 is 650664151.

It is a happy number.

It is a super-2 number, since 2×1514660562 = 45883932240390272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (151466059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 792921 + ... + 793111.

It is an arithmetic number, because the mean of its divisors is an integer number (3684000).

Almost surely, 2151466056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151466056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176832000).

151466056 is an abundant number, since it is smaller than the sum of its proper divisors (202197944).

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

151466056 is a wasteful number, since it uses less digits than its factorization.

151466056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 151466056 is about 12307.1546671032. The cubic root of 151466056 is about 533.0546943815.

The spelling of 151466056 in words is "one hundred fifty-one million, four hundred sixty-six thousand, fifty-six".

Divisors: 1 2 4 7 8 14 17 28 34 49 56 68 98 119 136 191 196 238 289 343 382 392 476 578 686 764 833 952 1156 1337 1372 1528 1666 2023 2312 2674 2744 3247 3332 4046 5348 5831 6494 6664 8092 9359 10696 11662 12988 14161 16184 18718 22729 23324 25976 28322 37436 45458 46648 55199 56644 65513 74872 90916 99127 110398 113288 131026 159103 181832 198254 220796 262052 318206 386393 396508 441592 524104 636412 772786 793016 1113721 1272824 1545572 2227442 2704751 3091144 4454884 5409502 8909768 10819004 18933257 21638008 37866514 75733028 151466056