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969904080 = 2432512710607
BaseRepresentation
bin111001110011111…
…000111111010000
32111121001020021100
4321303320333100
53441243412310
6240124224400
733015022455
oct7163707720
92447036240
10969904080
11458538322
1223099b100
13125c30652
1492b5582c
155a238ec0
hex39cf8fd0

969904080 has 120 divisors (see below), whose sum is σ = 3283218432. Its totient is φ = 256580352.

The previous prime is 969904073. The next prime is 969904123. The reversal of 969904080 is 80409969.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86137 + ... + 96743.

Almost surely, 2969904080 is an apocalyptic number.

969904080 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 969904080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641609216).

969904080 is an abundant number, since it is smaller than the sum of its proper divisors (2313314352).

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

969904080 is a wasteful number, since it uses less digits than its factorization.

969904080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10753 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 969904080 is about 31143.2830639289. The cubic root of 969904080 is about 989.8656689485.

The spelling of 969904080 in words is "nine hundred sixty-nine million, nine hundred four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 127 144 180 240 254 360 381 508 635 720 762 1016 1143 1270 1524 1905 2032 2286 2540 3048 3810 4572 5080 5715 6096 7620 9144 10160 10607 11430 15240 18288 21214 22860 30480 31821 42428 45720 53035 63642 84856 91440 95463 106070 127284 159105 169712 190926 212140 254568 318210 381852 424280 477315 509136 636420 763704 848560 954630 1272840 1347089 1527408 1909260 2545680 2694178 3818520 4041267 5388356 6735445 7637040 8082534 10776712 12123801 13470890 16165068 20206335 21553424 24247602 26941780 32330136 40412670 48495204 53883560 60619005 64660272 80825340 96990408 107767120 121238010 161650680 193980816 242476020 323301360 484952040 969904080