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93142320 = 24351737617
BaseRepresentation
bin1011000110100…
…11110100110000
320111021010020120
411203103310300
5142321023240
613124210240
72210460645
oct543236460
9214233216
1093142320
1148638227
1227239980
13163b22cb
14c527dcc
15829cad0
hex58d3d30

93142320 has 160 divisors (see below), whose sum is σ = 314497728. Its totient is φ = 22708224.

The previous prime is 93142319. The next prime is 93142331. The reversal of 93142320 is 2324139.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150652 + ... + 151268.

Almost surely, 293142320 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 93142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248864).

93142320 is an abundant number, since it is smaller than the sum of its proper divisors (221355408).

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

93142320 is a wasteful number, since it uses less digits than its factorization.

93142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 93142320 is about 9651.0268883679. The cubic root of 93142320 is about 453.2964839329.

Adding to 93142320 its reverse (2324139), we get a palindrome (95466459).

The spelling of 93142320 in words is "ninety-three million, one hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 37 40 48 51 60 68 74 80 85 102 111 120 136 148 170 185 204 222 240 255 272 296 340 370 408 444 510 555 592 617 629 680 740 816 888 1020 1110 1234 1258 1360 1480 1776 1851 1887 2040 2220 2468 2516 2960 3085 3145 3702 3774 4080 4440 4936 5032 6170 6290 7404 7548 8880 9255 9435 9872 10064 10489 12340 12580 14808 15096 18510 18870 20978 22829 24680 25160 29616 30192 31467 37020 37740 41956 45658 49360 50320 52445 62934 68487 74040 75480 83912 91316 104890 114145 125868 136974 148080 150960 157335 167824 182632 209780 228290 251736 273948 314670 342435 365264 388093 419560 456580 503472 547896 629340 684870 776186 839120 913160 1095792 1164279 1258680 1369740 1552372 1826320 1940465 2328558 2517360 2739480 3104744 3880930 4657116 5478960 5821395 6209488 7761860 9314232 11642790 15523720 18628464 23285580 31047440 46571160 93142320