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96681720 = 23351783571
BaseRepresentation
bin1011100001100…
…11111011111000
320201220221101110
411300303323320
5144222303340
613332120320
72252531622
oct560637370
9221827343
1096681720
114a635453
12284660a0
1317051325
14cba9c12
15874b680
hex5c33ef8

96681720 has 128 divisors (see below), whose sum is σ = 311351040. Its totient is φ = 23930880.

The previous prime is 96681691. The next prime is 96681721. The reversal of 96681720 is 2718669.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96681721) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 169035 + ... + 169605.

It is an arithmetic number, because the mean of its divisors is an integer number (2432430).

Almost surely, 296681720 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 96681720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155675520).

96681720 is an abundant number, since it is smaller than the sum of its proper divisors (214669320).

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

96681720 is a wasteful number, since it uses less digits than its factorization.

96681720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 96681720 is about 9832.6863063966. The cubic root of 96681720 is about 458.9669951254.

The spelling of 96681720 in words is "ninety-six million, six hundred eighty-one thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 83 85 102 120 136 166 170 204 249 255 332 340 408 415 498 510 571 664 680 830 996 1020 1142 1245 1411 1660 1713 1992 2040 2284 2490 2822 2855 3320 3426 4233 4568 4980 5644 5710 6852 7055 8466 8565 9707 9960 11288 11420 13704 14110 16932 17130 19414 21165 22840 28220 29121 33864 34260 38828 42330 47393 48535 56440 58242 68520 77656 84660 94786 97070 116484 142179 145605 169320 189572 194140 232968 236965 284358 291210 379144 388280 473930 568716 582420 710895 805681 947860 1137432 1164840 1421790 1611362 1895720 2417043 2843580 3222724 4028405 4834086 5687160 6445448 8056810 9668172 12085215 16113620 19336344 24170430 32227240 48340860 96681720