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103508480 = 29540433
BaseRepresentation
bin1100010101101…
…10101000000000
321012202202221102
412022312220000
5202444232410
614134313532
72364543665
oct612665000
9235682842
10103508480
11534784a9
122a7b88a8
13185a172a
14da65a6c
1591492a5
hex62b6a00

103508480 has 40 divisors (see below), whose sum is σ = 248183892. Its totient is φ = 41402368.

The previous prime is 103508467. The next prime is 103508519. The reversal of 103508480 is 84805301.

It can be written as a sum of positive squares in 2 ways, for example, as 96196864 + 7311616 = 9808^2 + 2704^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17657 + ... + 22776.

Almost surely, 2103508480 is an apocalyptic number.

103508480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103508480 is an abundant number, since it is smaller than the sum of its proper divisors (144675412).

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

103508480 is an frugal number, since it uses more digits than its factorization.

103508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40456 (or 40440 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The square root of 103508480 is about 10173.9117354143. The cubic root of 103508480 is about 469.5249160457.

The spelling of 103508480 in words is "one hundred three million, five hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 40433 80866 161732 202165 323464 404330 646928 808660 1293856 1617320 2587712 3234640 5175424 6469280 10350848 12938560 20701696 25877120 51754240 103508480