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141390752 = 2523316197
BaseRepresentation
bin10000110110101…
…11001110100000
3100212001101122112
420123113032200
5242144001002
622010254452
73334541636
oct1033271640
9325041575
10141390752
11728a1a68
123b427428
13233a6389
1414ac7356
15c62d852
hex86d73a0

141390752 has 48 divisors (see below), whose sum is σ = 299884032. Its totient is φ = 65429760.

The previous prime is 141390737. The next prime is 141390779. The reversal of 141390752 is 257093141.

It is a super-2 number, since 2×1413907522 = 39982689502251008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 19718 + ... + 25914.

It is an arithmetic number, because the mean of its divisors is an integer number (6247584).

Almost surely, 2141390752 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 141390752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149942016).

141390752 is an abundant number, since it is smaller than the sum of its proper divisors (158493280).

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

141390752 is a wasteful number, since it uses less digits than its factorization.

141390752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6261 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 141390752 is about 11890.7843307328. The cubic root of 141390752 is about 520.9631459226.

The spelling of 141390752 in words is "one hundred forty-one million, three hundred ninety thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 23 31 32 46 62 92 124 184 248 368 496 713 736 992 1426 2852 5704 6197 11408 12394 22816 24788 49576 99152 142531 192107 198304 285062 384214 570124 768428 1140248 1536856 2280496 3073712 4418461 4560992 6147424 8836922 17673844 35347688 70695376 141390752