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96604740 = 223251947601
BaseRepresentation
bin1011100001000…
…01001001000100
320201210000210100
411300201021010
5144212322430
613330324100
72252061321
oct560411104
9221700710
1096604740
114a592631
1228429630
131702528b
14cb89b48
158733960
hex5c21244

96604740 has 144 divisors (see below), whose sum is σ = 315544320. Its totient is φ = 23846400.

The previous prime is 96604699. The next prime is 96604811. The reversal of 96604740 is 4740669.

96604740 is a `hidden beast` number, since 9 + 6 + 604 + 7 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 96604695 and 96604704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160440 + ... + 161040.

It is an arithmetic number, because the mean of its divisors is an integer number (2191280).

Almost surely, 296604740 is an apocalyptic number.

96604740 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 96604740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157772160).

96604740 is an abundant number, since it is smaller than the sum of its proper divisors (218939580).

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

96604740 is a wasteful number, since it uses less digits than its factorization.

96604740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 96604740 is about 9828.7710320263. The cubic root of 96604740 is about 458.8451497528.

It can be divided in two parts, 96604 and 740, that added together give a square (97344 = 3122).

The spelling of 96604740 in words is "ninety-six million, six hundred four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 47 57 60 76 90 94 95 114 141 171 180 188 190 228 235 282 285 342 380 423 470 564 570 601 684 705 846 855 893 940 1140 1202 1410 1692 1710 1786 1803 2115 2404 2679 2820 3005 3420 3572 3606 4230 4465 5358 5409 6010 7212 8037 8460 8930 9015 10716 10818 11419 12020 13395 16074 17860 18030 21636 22838 26790 27045 28247 32148 34257 36060 40185 45676 53580 54090 56494 57095 68514 80370 84741 102771 108180 112988 114190 137028 141235 160740 169482 171285 205542 228380 254223 282470 338964 342570 411084 423705 508446 513855 536693 564940 685140 847410 1016892 1027710 1073386 1271115 1610079 1694820 2055420 2146772 2542230 2683465 3220158 4830237 5084460 5366930 6440316 8050395 9660474 10733860 16100790 19320948 24151185 32201580 48302370 96604740