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676542132 = 22357175849
BaseRepresentation
bin101000010100110…
…011011010110100
31202011000220100000
4220110303122310
52341143322012
6151044351300
722523341020
oct5024633264
91664026300
10676542132
11317988132
1216a6a5530
13aa2180b6
1465bcd380
153e5dbddc
hex285336b4

676542132 has 144 divisors (see below), whose sum is σ = 2146435200. Its totient is φ = 181896192.

The previous prime is 676542103. The next prime is 676542143. The reversal of 676542132 is 231245676.

It is a super-2 number, since 2×6765421322 = 915418512742210848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112744 + ... + 118592.

It is an arithmetic number, because the mean of its divisors is an integer number (14905800).

Almost surely, 2676542132 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 676542132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073217600).

676542132 is an abundant number, since it is smaller than the sum of its proper divisors (1469893068).

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

676542132 is a wasteful number, since it uses less digits than its factorization.

676542132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5892 (or 5878 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 676542132 is about 26010.4235259636. The cubic root of 676542132 is about 877.8728461590.

The spelling of 676542132 in words is "six hundred seventy-six million, five hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 81 84 102 108 119 126 153 162 189 204 238 243 252 306 324 357 378 459 476 486 567 612 714 756 918 972 1071 1134 1377 1428 1701 1836 2142 2268 2754 3213 3402 4131 4284 5508 5849 6426 6804 8262 9639 11698 12852 16524 17547 19278 23396 28917 35094 38556 40943 52641 57834 70188 81886 99433 105282 115668 122829 157923 163772 198866 210564 245658 298299 315846 368487 397732 473769 491316 596598 631692 696031 736974 894897 947538 1105461 1193196 1392062 1421307 1473948 1789794 1895076 2088093 2210922 2684691 2784124 2842614 3316383 3579588 4176186 4421844 5369382 5685228 6264279 6632766 8054073 8352372 9949149 10738764 12528558 13265532 16108146 18792837 19898298 24162219 25057116 32216292 37585674 39796596 48324438 56378511 75171348 96648876 112757022 169135533 225514044 338271066 676542132