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141342960 = 243511371447
BaseRepresentation
bin10000110110010…
…11100011110000
3100211221222002110
420123023203300
5242140433320
622005245320
73334252413
oct1033134360
9324858073
10141342960
117286a070
123b403840
132338a6b5
1414ab3b7a
15c61e5e0
hex86cb8f0

141342960 has 160 divisors (see below), whose sum is σ = 491254272. Its totient is φ = 33315840.

The previous prime is 141342931. The next prime is 141342961. The reversal of 141342960 is 69243141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141342961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 96957 + ... + 98403.

Almost surely, 2141342960 is an apocalyptic number.

141342960 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 141342960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245627136).

141342960 is an abundant number, since it is smaller than the sum of its proper divisors (349911312).

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

141342960 is a wasteful number, since it uses less digits than its factorization.

141342960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 141342960 is about 11888.7745373525. The cubic root of 141342960 is about 520.9044417615.

The spelling of 141342960 in words is "one hundred forty-one million, three hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1447 1480 1628 1776 2035 2220 2442 2640 2894 2960 3256 4070 4341 4440 4884 5788 6105 6512 7235 8140 8682 8880 9768 11576 12210 14470 15917 16280 17364 19536 21705 23152 24420 28940 31834 32560 34728 43410 47751 48840 53539 57880 63668 69456 79585 86820 95502 97680 107078 115760 127336 159170 160617 173640 191004 214156 238755 254672 267695 318340 321234 347280 382008 428312 477510 535390 588929 636680 642468 764016 803085 856624 955020 1070780 1177858 1273360 1284936 1606170 1766787 1910040 2141560 2355716 2569872 2944645 3212340 3533574 3820080 4283120 4711432 5889290 6424680 7067148 8833935 9422864 11778580 12849360 14134296 17667870 23557160 28268592 35335740 47114320 70671480 141342960