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10704480 = 253529769
BaseRepresentation
bin101000110101…
…011001100000
3202010211210020
4220311121200
510220020410
61021233440
7156662253
oct50653140
922124706
1010704480
116051486
123702880
1322aa417
1415c909a
15e16a70
hexa35660

10704480 has 96 divisors (see below), whose sum is σ = 34927200. Its totient is φ = 2752512.

The previous prime is 10704479. The next prime is 10704487. The reversal of 10704480 is 8440701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×107044802 = 229171784140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10704480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10704487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13536 + ... + 14304.

It is an arithmetic number, because the mean of its divisors is an integer number (363825).

Almost surely, 210704480 is an apocalyptic number.

10704480 is a gapful number since it is divisible by the number (10) 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 10704480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17463600).

10704480 is an abundant number, since it is smaller than the sum of its proper divisors (24222720).

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

10704480 is a wasteful number, since it uses less digits than its factorization.

10704480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 10704480 is about 3271.7701630769. The cubic root of 10704480 is about 220.3882949813.

The spelling of 10704480 in words is "ten million, seven hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 769 870 928 1160 1392 1538 1740 2307 2320 2784 3076 3480 3845 4614 4640 6152 6960 7690 9228 11535 12304 13920 15380 18456 22301 23070 24608 30760 36912 44602 46140 61520 66903 73824 89204 92280 111505 123040 133806 178408 184560 223010 267612 334515 356816 369120 446020 535224 669030 713632 892040 1070448 1338060 1784080 2140896 2676120 3568160 5352240 10704480