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141958960 = 245111312409
BaseRepresentation
bin10000111011000…
…01111100110000
3100220010021002021
420131201330300
5242320141320
622030401224
73342426343
oct1035417460
9326107067
10141958960
117314a960
123b660214
1323544bb0
1414bd445a
15c6e1daa
hex8761f30

141958960 has 80 divisors (see below), whose sum is σ = 387787680. Its totient is φ = 47646720.

The previous prime is 141958879. The next prime is 141958961. The reversal of 141958960 is 69859141.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (141958961) 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 15 ways as a sum of consecutive naturals, for example, 5236 + ... + 17644.

It is an arithmetic number, because the mean of its divisors is an integer number (4847346).

Almost surely, 2141958960 is an apocalyptic number.

141958960 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 141958960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193893840).

141958960 is an abundant number, since it is smaller than the sum of its proper divisors (245828720).

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

141958960 is a wasteful number, since it uses less digits than its factorization.

141958960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12446 (or 12440 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The square root of 141958960 is about 11914.6531632272. The cubic root of 141958960 is about 521.6600792390.

The spelling of 141958960 in words is "one hundred forty-one million, nine hundred fifty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 2288 2860 5720 11440 12409 24818 49636 62045 99272 124090 136499 161317 198544 248180 272998 322634 496360 545996 645268 682495 806585 992720 1091992 1290536 1364990 1613170 1774487 2183984 2581072 2729980 3226340 3548974 5459960 6452680 7097948 8872435 10919920 12905360 14195896 17744870 28391792 35489740 70979480 141958960