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96963660 = 223253117377
BaseRepresentation
bin1011100011110…
…00110001001100
320202110021010200
411301320301030
5144310314120
613342133500
72255114613
oct561706114
9222407120
1096963660
114a808262
1228581290
131711c761
14cc4087a
1587a4e90
hex5c78c4c

96963660 has 72 divisors (see below), whose sum is σ = 303628416. Its totient is φ = 25021440.

The previous prime is 96963623. The next prime is 96963697. The reversal of 96963660 is 6636969.

96963660 is a `hidden beast` number, since 9 + 6 + 9 + 636 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96963623) and next prime (96963697).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 3109 + ... + 14268.

Almost surely, 296963660 is an apocalyptic number.

96963660 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 96963660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151814208).

96963660 is an abundant number, since it is smaller than the sum of its proper divisors (206664756).

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

96963660 is a wasteful number, since it uses less digits than its factorization.

96963660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17423 (or 17418 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 96963660 is about 9847.0127449902. The cubic root of 96963660 is about 459.4127035554.

The spelling of 96963660 in words is "ninety-six million, nine hundred sixty-three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 90 93 124 155 180 186 279 310 372 465 558 620 930 1116 1395 1860 2790 5580 17377 34754 52131 69508 86885 104262 156393 173770 208524 260655 312786 347540 521310 538687 625572 781965 1042620 1077374 1563930 1616061 2154748 2693435 3127860 3232122 4848183 5386870 6464244 8080305 9696366 10773740 16160610 19392732 24240915 32321220 48481830 96963660