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107172480 = 273555819
BaseRepresentation
bin1100110001101…
…01001010000000
321110122221000010
412120311022000
5204414004410
614345024520
72440644132
oct630651200
9243587003
10107172480
11555502a8
122ba85140
131928538c
141033b052
15961ec20
hex6635280

107172480 has 64 divisors (see below), whose sum is σ = 341618400. Its totient is φ = 28578816.

The previous prime is 107172473. The next prime is 107172493. The reversal of 107172480 is 84271701.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1071724802 = 22971880938700800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25990 + ... + 29829.

Almost surely, 2107172480 is an apocalyptic number.

107172480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107172480 is an abundant number, since it is smaller than the sum of its proper divisors (234445920).

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

107172480 is an equidigital number, since it uses as much as digits as its factorization.

107172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55841 (or 55829 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 107172480 is about 10352.4142111876. The cubic root of 107172480 is about 475.0008938118. Note that the first 3 decimals are identical.

The spelling of 107172480 in words is "one hundred seven million, one hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 55819 111638 167457 223276 279095 334914 446552 558190 669828 837285 893104 1116380 1339656 1674570 1786208 2232760 2679312 3349140 3572416 4465520 5358624 6698280 7144832 8931040 10717248 13396560 17862080 21434496 26793120 35724160 53586240 107172480