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92130240 = 2635195051
BaseRepresentation
bin1010111110111…
…00101111000000
320102100200221010
411133130233000
5142041131430
613050400520
72166044166
oct537345700
9212320833
1092130240
11480068a4
1226a30140
1316119747
14c343236
15814ccb0
hex57dcbc0

92130240 has 112 divisors (see below), whose sum is σ = 307969920. Its totient is φ = 23270400.

The previous prime is 92130217. The next prime is 92130251. The reversal of 92130240 is 4203129.

It is a super-2 number, since 2×921302402 = 16975962244915200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15715 + ... + 20765.

Almost surely, 292130240 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 92130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153984960).

92130240 is an abundant number, since it is smaller than the sum of its proper divisors (215839680).

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

92130240 is a wasteful number, since it uses less digits than its factorization.

92130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5080 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 92130240 is about 9598.4498748496. The cubic root of 92130240 is about 451.6486684337.

Adding to 92130240 its reverse (4203129), we get a palindrome (96333369).

The spelling of 92130240 in words is "ninety-two million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 5051 6080 9120 10102 15153 18240 20204 25255 30306 40408 50510 60612 75765 80816 95969 101020 121224 151530 161632 191938 202040 242448 287907 303060 323264 383876 404080 479845 484896 575814 606120 767752 808160 959690 969792 1151628 1212240 1439535 1535504 1616320 1919380 2303256 2424480 2879070 3071008 3838760 4606512 4848960 5758140 6142016 7677520 9213024 11516280 15355040 18426048 23032560 30710080 46065120 92130240