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96703920 = 24325197069
BaseRepresentation
bin1011100001110…
…01010110110000
320201222001211200
411300321112300
5144224011140
613332411200
72252653425
oct560712660
9221861750
1096703920
114a6500a5
1228476b00
131705b471
14cbb3d4c
158753030
hex5c395b0

96703920 has 120 divisors (see below), whose sum is σ = 341905200. Its totient is φ = 24427008.

The previous prime is 96703913. The next prime is 96703927. The reversal of 96703920 is 2930769.

It is an interprime number because it is at equal distance from previous prime (96703913) and next prime (96703927).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (96703927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 10146 + ... + 17214.

It is an arithmetic number, because the mean of its divisors is an integer number (2849210).

Almost surely, 296703920 is an apocalyptic number.

96703920 is a gapful number since it is divisible by the number (90) 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 96703920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170952600).

96703920 is an abundant number, since it is smaller than the sum of its proper divisors (245201280).

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

96703920 is a wasteful number, since it uses less digits than its factorization.

96703920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107 (or 7098 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 96703920 is about 9833.8151294398. The cubic root of 96703920 is about 459.0021216813.

The spelling of 96703920 in words is "ninety-six million, seven hundred three thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1368 1520 1710 2280 2736 3420 4560 6840 7069 13680 14138 21207 28276 35345 42414 56552 63621 70690 84828 106035 113104 127242 134311 141380 169656 212070 254484 268622 282760 318105 339312 402933 424140 508968 537244 565520 636210 671555 805866 848280 1017936 1074488 1208799 1272420 1343110 1611732 1696560 2014665 2148976 2417598 2544840 2686220 3223464 4029330 4835196 5089680 5372440 6043995 6446928 8058660 9670392 10744880 12087990 16117320 19340784 24175980 32234640 48351960 96703920