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142198656 = 273675527
BaseRepresentation
bin10000111100111…
…00011110000000
3100220120102212220
420132130132000
5242400324111
622035451040
73344445225
oct1036343600
9326512786
10142198656
11732a3a56
123b756a80
13235ca022
1414c5794c
15c73ce06
hex879c780

142198656 has 64 divisors (see below), whose sum is σ = 383422080. Its totient is φ = 46683648.

The previous prime is 142198649. The next prime is 142198669. The reversal of 142198656 is 656891241.

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

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, 22965 + ... + 28491.

It is an arithmetic number, because the mean of its divisors is an integer number (5990970).

Almost surely, 2142198656 is an apocalyptic number.

142198656 is a gapful number since it is divisible by the number (16) 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 142198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191711040).

142198656 is an abundant number, since it is smaller than the sum of its proper divisors (241223424).

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

142198656 is an equidigital number, since it uses as much as digits as its factorization.

142198656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5611 (or 5599 counting only the distinct ones).

The product of its digits is 103680, while the sum is 42.

The square root of 142198656 is about 11924.7077951621. The cubic root of 142198656 is about 521.9535197380.

The spelling of 142198656 in words is "one hundred forty-two million, one hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 3216 4288 5527 6432 8576 11054 12864 16581 22108 25728 33162 44216 66324 88432 132648 176864 265296 353728 370309 530592 707456 740618 1061184 1110927 1481236 2122368 2221854 2962472 4443708 5924944 8887416 11849888 17774832 23699776 35549664 47399552 71099328 142198656