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10747485400 = 23521511672131
BaseRepresentation
bin10100000001001100…
…11001110011011000
31000202000021211022211
422000212121303120
5134002324013100
64534243524504
7530222055451
oct120046316330
930660254284
1010747485400
114615747943
1220bb389734
131023814522
1473d53c128
1542d8101ba
hex280999cd8

10747485400 has 96 divisors (see below), whose sum is σ = 25315879680. Its totient is φ = 4242960000.

The previous prime is 10747485383. The next prime is 10747485409. The reversal of 10747485400 is 458474701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10747485409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5042335 + ... + 5044465.

It is an arithmetic number, because the mean of its divisors is an integer number (263707080).

Almost surely, 210747485400 is an apocalyptic number.

10747485400 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 10747485400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657939840).

10747485400 is an abundant number, since it is smaller than the sum of its proper divisors (14568394280).

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

10747485400 is a wasteful number, since it uses less digits than its factorization.

10747485400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 40.

The spelling of 10747485400 in words is "ten billion, seven hundred forty-seven million, four hundred eighty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 151 167 200 302 334 604 668 755 835 1208 1336 1510 1670 2131 3020 3340 3775 4175 4262 6040 6680 7550 8350 8524 10655 15100 16700 17048 21310 25217 30200 33400 42620 50434 53275 85240 100868 106550 126085 201736 213100 252170 321781 355877 426200 504340 630425 643562 711754 1008680 1260850 1287124 1423508 1608905 1779385 2521700 2574248 2847016 3217810 3558770 5043400 6435620 7117540 8044525 8896925 12871240 14235080 16089050 17793850 32178100 35587700 53737427 64356200 71175400 107474854 214949708 268687135 429899416 537374270 1074748540 1343435675 2149497080 2686871350 5373742700 10747485400