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423132160 = 2105112683
BaseRepresentation
bin11001001110000…
…111110000000000
31002111012100012111
4121032013300000
51331310212120
6105553105104
713325364313
oct3116076000
91074170174
10423132160
111a7935500
12b9858194
1369880579
14402a697a
152723275a
hex19387c00

423132160 has 132 divisors (see below), whose sum is σ = 1117318104. Its totient is φ = 153640960.

The previous prime is 423132133. The next prime is 423132161. The reversal of 423132160 is 61231324.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423132161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619179 + ... + 619861.

Almost surely, 2423132160 is an apocalyptic number.

423132160 is a gapful number since it is divisible by the number (40) 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 423132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558659052).

423132160 is an abundant number, since it is smaller than the sum of its proper divisors (694185944).

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

423132160 is a wasteful number, since it uses less digits than its factorization.

423132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 423132160 is about 20570.1764698313. The cubic root of 423132160 is about 750.7442449254.

Adding to 423132160 its reverse (61231324), we get a palindrome (484363484).

The spelling of 423132160 in words is "four hundred twenty-three million, one hundred thirty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 256 320 352 440 484 512 605 640 683 704 880 968 1024 1210 1280 1366 1408 1760 1936 2420 2560 2732 2816 3415 3520 3872 4840 5120 5464 5632 6830 7040 7513 7744 9680 10928 11264 13660 14080 15026 15488 19360 21856 27320 28160 30052 30976 37565 38720 43712 54640 56320 60104 61952 75130 77440 82643 87424 109280 120208 123904 150260 154880 165286 174848 218560 240416 300520 309760 330572 349696 413215 437120 480832 601040 619520 661144 699392 826430 874240 961664 1202080 1322288 1652860 1748480 1923328 2404160 2644576 3305720 3496960 3846656 4808320 5289152 6611440 7693312 9616640 10578304 13222880 19233280 21156608 26445760 38466560 42313216 52891520 84626432 105783040 211566080 423132160