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103970400 = 2535243321
BaseRepresentation
bin1100011001001…
…11011001100000
321020122020120120
412030213121200
5203104023100
614152240240
72401506462
oct614473140
9236566516
10103970400
1153763556
122a9a0080
1318703a61
14db46132
1591db0a0
hex6327660

103970400 has 72 divisors (see below), whose sum is σ = 338431464. Its totient is φ = 27724800.

The previous prime is 103970389. The next prime is 103970411. The reversal of 103970400 is 4079301.

It is an interprime number because it is at equal distance from previous prime (103970389) and next prime (103970411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19261 + ... + 24060.

It is an arithmetic number, because the mean of its divisors is an integer number (4700437).

Almost surely, 2103970400 is an apocalyptic number.

103970400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103970400 is an abundant number, since it is smaller than the sum of its proper divisors (234461064).

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

103970400 is a wasteful number, since it uses less digits than its factorization.

103970400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43344 (or 43331 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 103970400 is about 10196.5876645082. The cubic root of 103970400 is about 470.2223182423. Note that the first 3 decimals are identical.

The spelling of 103970400 in words is "one hundred three million, nine hundred seventy thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 43321 86642 129963 173284 216605 259926 346568 433210 519852 649815 693136 866420 1039704 1083025 1299630 1386272 1732840 2079408 2166050 2599260 3249075 3465680 4158816 4332100 5198520 6498150 6931360 8664200 10397040 12996300 17328400 20794080 25992600 34656800 51985200 103970400