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76960368 = 2434431381
BaseRepresentation
bin1001001011001…
…01001001110000
312100210222210000
410211211021300
5124200212433
611345310000
71623103152
oct445451160
9170728700
1076960368
113a495511
1221935300
1312c379a4
14a314ad2
156b53113
hex4965270

76960368 has 100 divisors (see below), whose sum is σ = 228090808. Its totient is φ = 25038720.

The previous prime is 76960363. The next prime is 76960381. The reversal of 76960368 is 86306967.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76960361) 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 19 ways as a sum of consecutive naturals, for example, 55038 + ... + 56418.

Almost surely, 276960368 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 76960368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114045404).

76960368 is an abundant number, since it is smaller than the sum of its proper divisors (151130440).

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

76960368 is a wasteful number, since it uses less digits than its factorization.

76960368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 76960368 is about 8772.7058539541. The cubic root of 76960368 is about 425.3590838361.

The spelling of 76960368 in words is "seventy-six million, nine hundred sixty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 216 258 324 344 387 432 516 648 688 774 1032 1161 1296 1381 1548 2064 2322 2762 3096 3483 4143 4644 5524 6192 6966 8286 9288 11048 12429 13932 16572 18576 22096 24858 27864 33144 37287 49716 55728 59383 66288 74574 99432 111861 118766 149148 178149 198864 223722 237532 298296 356298 447444 475064 534447 596592 712596 894888 950128 1068894 1425192 1603341 1789776 2137788 2850384 3206682 4275576 4810023 6413364 8551152 9620046 12826728 19240092 25653456 38480184 76960368