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142603904 = 272941937
BaseRepresentation
bin10000111111111…
…11011010000000
3100221100000210002
420133333122000
5243001311104
622052255132
73351053552
oct1037773200
9327300702
10142603904
1173550473
123b9114a8
132370c611
1414d214d2
15c7bd01e
hex87ff680

142603904 has 64 divisors (see below), whose sum is σ = 301379400. Its totient is φ = 67092480.

The previous prime is 142603861. The next prime is 142603907. The reversal of 142603904 is 409306241.

It can be written as a sum of positive squares in 4 ways, for example, as 49674304 + 92929600 = 7048^2 + 9640^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (142603907) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 151724 + ... + 152660.

Almost surely, 2142603904 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 142603904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150689700).

142603904 is an abundant number, since it is smaller than the sum of its proper divisors (158775496).

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

142603904 is an equidigital number, since it uses as much as digits as its factorization.

142603904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 142603904 is about 11941.6876529241. The cubic root of 142603904 is about 522.4488830742.

The spelling of 142603904 in words is "one hundred forty-two million, six hundred three thousand, nine hundred four".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 128 164 232 328 464 656 928 937 1189 1312 1856 1874 2378 2624 3712 3748 4756 5248 7496 9512 14992 19024 27173 29984 38048 38417 54346 59968 76096 76834 108692 119936 152192 153668 217384 307336 434768 614672 869536 1114093 1229344 1739072 2228186 2458688 3478144 4456372 4917376 8912744 17825488 35650976 71301952 142603904