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141601920 = 273573751
BaseRepresentation
bin10000111000010…
…10110010000000
3100212110010022120
420130022302000
5242222230140
622015004240
73336411405
oct1034126200
9325403276
10141601920
1172a26689
123b509680
132344b525
1414b402ac
15c6711d0
hex870ac80

141601920 has 64 divisors (see below), whose sum is σ = 451362240. Its totient is φ = 37760000.

The previous prime is 141601897. The next prime is 141601931. The reversal of 141601920 is 29106141.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1416019202 = 40102207495372800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34956 + ... + 38795.

It is an arithmetic number, because the mean of its divisors is an integer number (7052535).

Almost surely, 2141601920 is an apocalyptic number.

141601920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

141601920 is an abundant number, since it is smaller than the sum of its proper divisors (309760320).

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

141601920 is an equidigital number, since it uses as much as digits as its factorization.

141601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73773 (or 73761 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 141601920 is about 11899.6604993588. The cubic root of 141601920 is about 521.2223708535. Note that the first 3 decimals are identical.

The spelling of 141601920 in words is "one hundred forty-one million, six hundred one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 73751 147502 221253 295004 368755 442506 590008 737510 885012 1106265 1180016 1475020 1770024 2212530 2360032 2950040 3540048 4425060 4720064 5900080 7080096 8850120 9440128 11800160 14160192 17700240 23600320 28320384 35400480 47200640 70800960 141601920