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76969380 = 223519107631
BaseRepresentation
bin1001001011001…
…11010110100100
312100211110010210
410211213112210
5124201010010
611345415420
71623141345
oct445472644
9170743123
1076969380
113a4a1264
122193a570
1312c3bb17
14a3180cc
156b55b20
hex49675a4

76969380 has 96 divisors (see below), whose sum is σ = 229340160. Its totient is φ = 19232640.

The previous prime is 76969379. The next prime is 76969391. The reversal of 76969380 is 8396967.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121665 + ... + 122295.

It is an arithmetic number, because the mean of its divisors is an integer number (2388960).

Almost surely, 276969380 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 76969380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114670080).

76969380 is an abundant number, since it is smaller than the sum of its proper divisors (152370780).

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

76969380 is a wasteful number, since it uses less digits than its factorization.

76969380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 76969380 is about 8773.2194774780. The cubic root of 76969380 is about 425.3756862621.

The spelling of 76969380 in words is "seventy-six million, nine hundred sixty-nine thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 107 114 190 214 228 285 321 380 428 535 570 631 642 1070 1140 1262 1284 1605 1893 2033 2140 2524 3155 3210 3786 4066 6099 6310 6420 7572 8132 9465 10165 11989 12198 12620 18930 20330 23978 24396 30495 35967 37860 40660 47956 59945 60990 67517 71934 119890 121980 135034 143868 179835 202551 239780 270068 337585 359670 405102 675170 719340 810204 1012755 1282823 1350340 2025510 2565646 3848469 4051020 5131292 6414115 7696938 12828230 15393876 19242345 25656460 38484690 76969380