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141961320 = 233251792203
BaseRepresentation
bin10000111011000…
…10100001101000
3100220010101022200
420131202201220
5242320230240
622030420200
73342436254
oct1035424150
9326111280
10141961320
1173151706
123b661660
1323545ca7
1414bd5264
15c6e2930
hex8762868

141961320 has 96 divisors (see below), whose sum is σ = 464162400. Its totient is φ = 37627776.

The previous prime is 141961301. The next prime is 141961349. The reversal of 141961320 is 23169141.

141961320 is a `hidden beast` number, since 1 + 41 + 9 + 613 + 2 + 0 = 666.

It is a super-2 number, since 2×1419613202 = 40306032752284800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63339 + ... + 65541.

It is an arithmetic number, because the mean of its divisors is an integer number (4835025).

Almost surely, 2141961320 is an apocalyptic number.

141961320 is a gapful number since it is divisible by the number (10) 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 141961320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232081200).

141961320 is an abundant number, since it is smaller than the sum of its proper divisors (322201080).

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

141961320 is a wasteful number, since it uses less digits than its factorization.

141961320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 141961320 is about 11914.7522005286. The cubic root of 141961320 is about 521.6629700063.

The spelling of 141961320 in words is "one hundred forty-one million, nine hundred sixty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 179 180 358 360 537 716 895 1074 1432 1611 1790 2148 2203 2685 3222 3580 4296 4406 5370 6444 6609 7160 8055 8812 10740 11015 12888 13218 16110 17624 19827 21480 22030 26436 32220 33045 39654 44060 52872 64440 66090 79308 88120 99135 132180 158616 198270 264360 394337 396540 788674 793080 1183011 1577348 1971685 2366022 3154696 3549033 3943370 4732044 5915055 7098066 7886740 9464088 11830110 14196132 15773480 17745165 23660220 28392264 35490330 47320440 70980660 141961320