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53680158 = 235731509
BaseRepresentation
bin1100110011000…
…1100000011110
310202000020100000
43030301200132
5102220231113
65154315130
71221162630
oct314614036
9122006300
1053680158
1128334774
1215b88aa6
13b17650c
1471b4a50
154aa5373
hex333181e

53680158 has 96 divisors (see below), whose sum is σ = 142571520. Its totient is φ = 14813280.

The previous prime is 53680153. The next prime is 53680241. The reversal of 53680158 is 85108635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53680153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105208 + ... + 105716.

It is an arithmetic number, because the mean of its divisors is an integer number (1485120).

Almost surely, 253680158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53680158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71285760).

53680158 is an abundant number, since it is smaller than the sum of its proper divisors (88891362).

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

53680158 is a wasteful number, since it uses less digits than its factorization.

53680158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 53680158 is about 7326.6744161318. The cubic root of 53680158 is about 377.2285855146.

The spelling of 53680158 in words is "fifty-three million, six hundred eighty thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 81 93 126 162 186 189 217 243 279 378 434 486 509 558 567 651 837 1018 1134 1302 1527 1674 1701 1953 2511 3054 3402 3563 3906 4581 5022 5859 7126 7533 9162 10689 11718 13743 15066 15779 17577 21378 27486 31558 32067 35154 41229 47337 52731 64134 82458 94674 96201 105462 110453 123687 142011 192402 220906 247374 284022 288603 331359 426033 577206 662718 852066 865809 994077 1278099 1731618 1988154 2556198 2982231 3834297 5964462 7668594 8946693 17893386 26840079 53680158