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96741312 = 26319231153
BaseRepresentation
bin1011100010000…
…10011111000000
320202000222010120
411301002133000
5144231210222
613333300240
72253200433
oct561023700
9222028116
1096741312
114a6761a8
1228494680
13170724a5
14cbc381a
15875e15c
hex5c427c0

96741312 has 112 divisors (see below), whose sum is σ = 281391360. Its totient is φ = 29196288.

The previous prime is 96741283. The next prime is 96741313. The reversal of 96741312 is 21314769.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96741313) 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 15 ways as a sum of consecutive naturals, for example, 83328 + ... + 84480.

Almost surely, 296741312 is an apocalyptic number.

96741312 is a gapful number since it is divisible by the number (92) 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 96741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140695680).

96741312 is an abundant number, since it is smaller than the sum of its proper divisors (184650048).

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

96741312 is a wasteful number, since it uses less digits than its factorization.

96741312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1210 (or 1200 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 96741312 is about 9835.7161406783. The cubic root of 96741312 is about 459.0612740428.

The spelling of 96741312 in words is "ninety-six million, seven hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 32 38 46 48 57 64 69 76 92 96 114 138 152 184 192 228 276 304 368 437 456 552 608 736 874 912 1104 1153 1216 1311 1472 1748 1824 2208 2306 2622 3459 3496 3648 4416 4612 5244 6918 6992 9224 10488 13836 13984 18448 20976 21907 26519 27672 27968 36896 41952 43814 53038 55344 65721 73792 79557 83904 87628 106076 110688 131442 159114 175256 212152 221376 262884 318228 350512 424304 503861 525768 636456 701024 848608 1007722 1051536 1272912 1402048 1511583 1697216 2015444 2103072 2545824 3023166 4030888 4206144 5091648 6046332 8061776 12092664 16123552 24185328 32247104 48370656 96741312