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96103680 = 283529863
BaseRepresentation
bin1011011101001…
…10110100000000
320200211120110120
411232212310000
5144100304210
613311500240
72244603441
oct556466400
9220746416
1096103680
114a280132
1228227680
1316bab1aa
14ca992c8
158685270
hex5ba6d00

96103680 has 144 divisors (see below), whose sum is σ = 317882880. Its totient is φ = 24715264.

The previous prime is 96103649. The next prime is 96103717. The reversal of 96103680 is 8630169.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110929 + ... + 111791.

It is an arithmetic number, because the mean of its divisors is an integer number (2207520).

Almost surely, 296103680 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 96103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158941440).

96103680 is an abundant number, since it is smaller than the sum of its proper divisors (221779200).

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

96103680 is a wasteful number, since it uses less digits than its factorization.

96103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 96103680 is about 9803.2484412056. The cubic root of 96103680 is about 458.0504765659.

The spelling of 96103680 in words is "ninety-six million, one hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 64 80 87 96 116 120 128 145 160 174 192 232 240 256 290 320 348 384 435 464 480 580 640 696 768 863 870 928 960 1160 1280 1392 1726 1740 1856 1920 2320 2589 2784 3452 3480 3712 3840 4315 4640 5178 5568 6904 6960 7424 8630 9280 10356 11136 12945 13808 13920 17260 18560 20712 22272 25027 25890 27616 27840 34520 37120 41424 50054 51780 55232 55680 69040 75081 82848 100108 103560 110464 111360 125135 138080 150162 165696 200216 207120 220928 250270 276160 300324 331392 375405 400432 414240 500540 552320 600648 662784 750810 800864 828480 1001080 1104640 1201296 1501620 1601728 1656960 2002160 2402592 3003240 3203456 3313920 4004320 4805184 6006480 6406912 8008640 9610368 12012960 16017280 19220736 24025920 32034560 48051840 96103680