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96712920 = 23335149601
BaseRepresentation
bin1011100001110…
…11100011011000
320201222112012000
411300323203120
5144224303140
613332521000
72253021603
oct560734330
9221875160
1096712920
114a656937
1228480160
13170625a5
14cbb733a
158755a30
hex5c3b8d8

96712920 has 128 divisors (see below), whose sum is σ = 325080000. Its totient is φ = 25574400.

The previous prime is 96712919. The next prime is 96712937. The reversal of 96712920 is 2921769.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 160620 + ... + 161220.

Almost surely, 296712920 is an apocalyptic number.

96712920 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 96712920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162540000).

96712920 is an abundant number, since it is smaller than the sum of its proper divisors (228367080).

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

96712920 is a wasteful number, since it uses less digits than its factorization.

96712920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 96712920 is about 9834.2727234910. The cubic root of 96712920 is about 459.0163606454.

The spelling of 96712920 in words is "ninety-six million, seven hundred twelve thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 149 180 216 270 298 360 447 540 596 601 745 894 1080 1192 1202 1341 1490 1788 1803 2235 2404 2682 2980 3005 3576 3606 4023 4470 4808 5364 5409 5960 6010 6705 7212 8046 8940 9015 10728 10818 12020 13410 14424 16092 16227 17880 18030 20115 21636 24040 26820 27045 32184 32454 36060 40230 43272 53640 54090 64908 72120 80460 81135 89549 108180 129816 160920 162270 179098 216360 268647 324540 358196 447745 537294 649080 716392 805941 895490 1074588 1343235 1611882 1790980 2149176 2417823 2686470 3223764 3581960 4029705 4835646 5372940 6447528 8059410 9671292 10745880 12089115 16118820 19342584 24178230 32237640 48356460 96712920