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73790136 = 23337371319
BaseRepresentation
bin1000110010111…
…11001010111000
312010211221001000
410121133022320
5122342241021
611153325000
71554130410
oct431371270
9163757030
1073790136
113871a692
1220866760
1312397a04
149b2b640
156728b26
hex465f2b8

73790136 has 128 divisors (see below), whose sum is σ = 240768000. Its totient is φ = 20497536.

The previous prime is 73790111. The next prime is 73790147. The reversal of 73790136 is 63109737.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 73790136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55285 + ... + 56603.

It is an arithmetic number, because the mean of its divisors is an integer number (1881000).

Almost surely, 273790136 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 73790136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120384000).

73790136 is an abundant number, since it is smaller than the sum of its proper divisors (166977864).

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

73790136 is a wasteful number, since it uses less digits than its factorization.

73790136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1378 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 36.

The square root of 73790136 is about 8590.1185090777. The cubic root of 73790136 is about 419.4363868627.

The spelling of 73790136 in words is "seventy-three million, seven hundred ninety thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 37 42 54 56 63 72 74 84 108 111 126 148 168 189 216 222 252 259 296 333 378 444 504 518 666 756 777 888 999 1036 1319 1332 1512 1554 1998 2072 2331 2638 2664 3108 3957 3996 4662 5276 6216 6993 7914 7992 9233 9324 10552 11871 13986 15828 18466 18648 23742 27699 27972 31656 35613 36932 47484 48803 55398 55944 71226 73864 83097 94968 97606 110796 142452 146409 166194 195212 221592 249291 284904 292818 332388 341621 390424 439227 498582 585636 664776 683242 878454 997164 1024863 1171272 1317681 1366484 1756908 1994328 2049726 2635362 2732968 3074589 3513816 4099452 5270724 6149178 8198904 9223767 10541448 12298356 18447534 24596712 36895068 73790136