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96964440 = 23357311069
BaseRepresentation
bin1011100011110…
…00111101011000
320202110022012120
411301320331120
5144310330230
613342141240
72255120106
oct561707530
9222408176
1096964440
114a808901
1228581820
131711cc11
14cc40c76
1587a5310
hex5c78f58

96964440 has 64 divisors (see below), whose sum is σ = 294904800. Its totient is φ = 25500672.

The previous prime is 96964433. The next prime is 96964453. The reversal of 96964440 is 4446969.

It is a junction number, because it is equal to n+sod(n) for n = 96964392 and 96964401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3226 + ... + 14294.

Almost surely, 296964440 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 96964440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147452400).

96964440 is an abundant number, since it is smaller than the sum of its proper divisors (197940360).

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

96964440 is a wasteful number, since it uses less digits than its factorization.

96964440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11156 (or 11152 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 96964440 is about 9847.0523508307. The cubic root of 96964440 is about 459.4139354291.

The spelling of 96964440 in words is "ninety-six million, nine hundred sixty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2190 2920 4380 8760 11069 22138 33207 44276 55345 66414 88552 110690 132828 166035 221380 265656 332070 442760 664140 808037 1328280 1616074 2424111 3232148 4040185 4848222 6464296 8080370 9696444 12120555 16160740 19392888 24241110 32321480 48482220 96964440