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2154112704 = 26341724443
BaseRepresentation
bin1000000001100101…
…0010011011000000
312120010100021010000
42000121102123000
513402423101304
6553430040000
7104244440652
oct20031223300
95503307100
102154112704
11a05a38837
125014a9000
13284386203
141661346d2
15c91a5939
hex806526c0

2154112704 has 140 divisors (see below), whose sum is σ = 6761357064. Its totient is φ = 675772416.

The previous prime is 2154112693. The next prime is 2154112711. The reversal of 2154112704 is 4072114512.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 75907 + ... + 100349.

Almost surely, 22154112704 is an apocalyptic number.

2154112704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380678532).

2154112704 is an abundant number, since it is smaller than the sum of its proper divisors (4607244360).

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

2154112704 is a wasteful number, since it uses less digits than its factorization.

2154112704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24484 (or 24465 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2154112704 is about 46412.4197171404. The cubic root of 2154112704 is about 1291.4853199576.

The spelling of 2154112704 in words is "two billion, one hundred fifty-four million, one hundred twelve thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 408 432 459 544 576 612 648 816 864 918 1088 1224 1296 1377 1632 1728 1836 2448 2592 2754 3264 3672 4896 5184 5508 7344 9792 11016 14688 22032 24443 29376 44064 48886 73329 88128 97772 146658 195544 219987 293316 391088 415531 439974 586632 659961 782176 831062 879948 1173264 1246593 1319922 1564352 1662124 1759896 1979883 2346528 2493186 2639844 3324248 3519792 3739779 3959766 4693056 4986372 5279688 6648496 7039584 7479558 7919532 9972744 10559376 11219337 13296992 14079168 14959116 15839064 19945488 21118752 22438674 26593984 29918232 31678128 33658011 39890976 42237504 44877348 59836464 63356256 67316022 79781952 89754696 119672928 126712512 134632044 179509392 239345856 269264088 359018784 538528176 718037568 1077056352 2154112704