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154992640 = 21651143
BaseRepresentation
bin10010011110100…
…00000000000000
3101210122102221011
421033100000000
5304134231030
623214010304
73561262405
oct1117200000
9353572834
10154992640
117a5422a0
1243aa6994
132615952a
14168282ac
15d918b2a
hex93d0000

154992640 has 136 divisors (see below), whose sum is σ = 415232928. Its totient is φ = 55050240.

The previous prime is 154992637. The next prime is 154992679. The reversal of 154992640 is 46299451.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 154992593 and 154992602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3604459 + ... + 3604501.

Almost surely, 2154992640 is an apocalyptic number.

154992640 is a gapful number since it is divisible by the number (10) 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 154992640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207616464).

154992640 is an abundant number, since it is smaller than the sum of its proper divisors (260240288).

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

154992640 is an frugal number, since it uses more digits than its factorization.

154992640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 154992640 is about 12449.6040097667. The cubic root of 154992640 is about 537.1600330794.

The spelling of 154992640 in words is "one hundred fifty-four million, nine hundred ninety-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 128 160 172 176 215 220 256 320 344 352 430 440 473 512 640 688 704 860 880 946 1024 1280 1376 1408 1720 1760 1892 2048 2365 2560 2752 2816 3440 3520 3784 4096 4730 5120 5504 5632 6880 7040 7568 8192 9460 10240 11008 11264 13760 14080 15136 16384 18920 20480 22016 22528 27520 28160 30272 32768 37840 40960 44032 45056 55040 56320 60544 65536 75680 81920 88064 90112 110080 112640 121088 151360 163840 176128 180224 220160 225280 242176 302720 327680 352256 360448 440320 450560 484352 605440 704512 720896 880640 901120 968704 1210880 1409024 1761280 1802240 1937408 2421760 2818048 3522560 3604480 3874816 4843520 7045120 7749632 9687040 14090240 15499264 19374080 30998528 38748160 77496320 154992640