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96920880 = 24357311861
BaseRepresentation
bin1011100011011…
…10010100110000
320202101002110020
411301232110300
5144302432010
613341203440
72254546110
oct561562460
9222332406
1096920880
114a789101
1228560580
1317106144
14cc2d040
158797470
hex5c6e530

96920880 has 160 divisors (see below), whose sum is σ = 354643968. Its totient is φ = 21427200.

The previous prime is 96920867. The next prime is 96920897. The reversal of 96920880 is 8802969.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 51150 + ... + 53010.

Almost surely, 296920880 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 96920880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177321984).

96920880 is an abundant number, since it is smaller than the sum of its proper divisors (257723088).

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

96920880 is a wasteful number, since it uses less digits than its factorization.

96920880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1915 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 96920880 is about 9844.8402729552. The cubic root of 96920880 is about 459.3451299010.

The spelling of 96920880 in words is "ninety-six million, nine hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 1861 2170 2480 2604 3255 3472 3720 3722 4340 5208 5583 6510 7440 7444 8680 9305 10416 11166 13020 13027 14888 17360 18610 22332 26040 26054 27915 29776 37220 39081 44664 52080 52108 55830 57691 65135 74440 78162 89328 104216 111660 115382 130270 148880 156324 173073 195405 208432 223320 230764 260540 288455 312648 346146 390810 403837 446640 461528 521080 576910 625296 692292 781620 807674 865365 923056 1042160 1153820 1211511 1384584 1563240 1615348 1730730 2019185 2307640 2423022 2769168 3126480 3230696 3461460 4038370 4615280 4846044 6057555 6461392 6922920 8076740 9692088 12115110 13845840 16153480 19384176 24230220 32306960 48460440 96920880