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142007976 = 233211199437
BaseRepresentation
bin10000111011011…
…01111010101000
3100220012202022200
420131231322220
5242323223401
622031420200
73343022265
oct1035557250
9326182280
10142007976
1173183770
123b684660
13235612b6
1414c0826c
15c701686
hex876dea8

142007976 has 96 divisors (see below), whose sum is σ = 441698400. Its totient is φ = 40763520.

The previous prime is 142007963. The next prime is 142007977. The reversal of 142007976 is 679700241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142007976.

It is not an unprimeable number, because it can be changed into a prime (142007977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10330 + ... + 19766.

It is an arithmetic number, because the mean of its divisors is an integer number (4601025).

Almost surely, 2142007976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142007976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220849200).

142007976 is an abundant number, since it is smaller than the sum of its proper divisors (299690424).

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

142007976 is a wasteful number, since it uses less digits than its factorization.

142007976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9479 (or 9472 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 142007976 is about 11916.7099486393. The cubic root of 142007976 is about 521.7201124300.

The spelling of 142007976 in words is "one hundred forty-two million, seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 7524 9437 15048 18874 28311 37748 56622 75496 84933 103807 113244 169866 179303 207614 226488 311421 339732 358606 415228 537909 622842 679464 717212 830456 934263 1075818 1245684 1434424 1613727 1868526 1972333 2151636 2491368 3227454 3737052 3944666 4303272 5916999 6454908 7474104 7889332 11833998 12909816 15778664 17750997 23667996 35501994 47335992 71003988 142007976