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10747920 = 2435192357
BaseRepresentation
bin101001000000…
…000000010000
3202020001101010
4221000000100
510222413140
61022210520
7160233021
oct51000020
922201333
1010747920
116081087
123723a40
1322c4121
1415dac48
15e24880
hexa40010

10747920 has 80 divisors (see below), whose sum is σ = 35087040. Its totient is φ = 2714112.

The previous prime is 10747903. The next prime is 10747921. The reversal of 10747920 is 2974701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10747921) 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, 3382 + ... + 5738.

It is an arithmetic number, because the mean of its divisors is an integer number (438588).

Almost surely, 210747920 is an apocalyptic number.

10747920 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 10747920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17543520).

10747920 is an abundant number, since it is smaller than the sum of its proper divisors (24339120).

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

10747920 is a wasteful number, since it uses less digits than its factorization.

10747920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2386 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 10747920 is about 3278.4020497797. The cubic root of 10747920 is about 220.6860128934.

The spelling of 10747920 in words is "ten million, seven hundred forty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 2357 4560 4714 7071 9428 11785 14142 18856 23570 28284 35355 37712 44783 47140 56568 70710 89566 94280 113136 134349 141420 179132 188560 223915 268698 282840 358264 447830 537396 565680 671745 716528 895660 1074792 1343490 1791320 2149584 2686980 3582640 5373960 10747920