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107046420 = 223513137239
BaseRepresentation
bin1100110000101…
…10011000010100
321110102112002020
412120112120110
5204400441140
614342213140
72436610455
oct630263024
9243375066
10107046420
1155474618
122ba241b0
131923cba0
141030712c
1595e76d0
hex6616614

107046420 has 48 divisors (see below), whose sum is σ = 322788480. Its totient is φ = 26349696.

The previous prime is 107046413. The next prime is 107046421. The reversal of 107046420 is 24640701.

It is a super-2 number, since 2×1070464202 = 22917872069632800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107046421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67840 + ... + 69399.

It is an arithmetic number, because the mean of its divisors is an integer number (6724760).

Almost surely, 2107046420 is an apocalyptic number.

107046420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107046420 is an abundant number, since it is smaller than the sum of its proper divisors (215742060).

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

107046420 is a wasteful number, since it uses less digits than its factorization.

107046420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137264 (or 137262 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 107046420 is about 10346.3239848750. The cubic root of 107046420 is about 474.8145832181.

The spelling of 107046420 in words is "one hundred seven million, forty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 137239 274478 411717 548956 686195 823434 1372390 1646868 1784107 2058585 2744780 3568214 4117170 5352321 7136428 8234340 8920535 10704642 17841070 21409284 26761605 35682140 53523210 107046420