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142001376 = 25311134471
BaseRepresentation
bin10000111011011…
…00010011100000
3100220012102021020
420131230103200
5242323021001
622031325440
73342664116
oct1035542340
9326172236
10142001376
1173179810
123b680880
132355b2aa
1414c05ab6
15c6ee736
hex876c4e0

142001376 has 48 divisors (see below), whose sum is σ = 406643328. Its totient is φ = 43030400.

The previous prime is 142001339. The next prime is 142001393. The reversal of 142001376 is 673100241.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

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, 66180 + ... + 68291.

It is an arithmetic number, because the mean of its divisors is an integer number (8471736).

Almost surely, 2142001376 is an apocalyptic number.

142001376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142001376 is an abundant number, since it is smaller than the sum of its proper divisors (264641952).

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

142001376 is a wasteful number, since it uses less digits than its factorization.

142001376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134495 (or 134487 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 142001376 is about 11916.4330233506. The cubic root of 142001376 is about 521.7120297711.

It can be divided in two parts, 14200 and 1376, that added together give a triangular number (15576 = T176).

The spelling of 142001376 in words is "one hundred forty-two million, one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 134471 268942 403413 537884 806826 1075768 1479181 1613652 2151536 2958362 3227304 4303072 4437543 5916724 6454608 8875086 11833448 12909216 17750172 23666896 35500344 47333792 71000688 142001376