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73679130 = 232571071093
BaseRepresentation
bin1000110010001…
…00000100011010
312010122021202200
410121010010122
5122330213010
611151111030
71553155650
oct431040432
9163567680
1073679130
1138654248
1220812476
1312359325
149adcdd0
156705cc0
hex464411a

73679130 has 96 divisors (see below), whose sum is σ = 221180544. Its totient is φ = 16668288.

The previous prime is 73679129. The next prime is 73679161. The reversal of 73679130 is 3197637.

It is a super-2 number, since 2×736791302 = 10857228395113800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66864 + ... + 67956.

It is an arithmetic number, because the mean of its divisors is an integer number (2303964).

Almost surely, 273679130 is an apocalyptic number.

73679130 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 73679130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110590272).

73679130 is an abundant number, since it is smaller than the sum of its proper divisors (147501414).

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

73679130 is a wasteful number, since it uses less digits than its factorization.

73679130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1217 counting only the distinct ones).

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

The square root of 73679130 is about 8583.6548159860. The cubic root of 73679130 is about 419.2259552925.

The spelling of 73679130 in words is "seventy-three million, six hundred seventy-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 107 126 210 214 315 321 535 630 642 749 963 1070 1093 1498 1605 1926 2186 2247 3210 3279 3745 4494 4815 5465 6558 6741 7490 7651 9630 9837 10930 11235 13482 15302 16395 19674 22470 22953 32790 33705 38255 45906 49185 67410 68859 76510 98370 114765 116951 137718 229530 233902 344295 350853 584755 688590 701706 818657 1052559 1169510 1637314 1754265 2105118 2455971 3508530 4093285 4911942 5262795 7367913 8186570 10525590 12279855 14735826 24559710 36839565 73679130