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107748480 = 273578017
BaseRepresentation
bin1100110110000…
…01110010000000
321111202012010110
412123001302000
5210040422410
614405231320
72445563340
oct633016200
9244665113
10107748480
1155904034
1230102540
13194275c8
141044ad20
1596d5720
hex66c1c80

107748480 has 128 divisors (see below), whose sum is σ = 392561280. Its totient is φ = 24625152.

The previous prime is 107748479. The next prime is 107748493. The reversal of 107748480 is 84847701.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9432 + ... + 17448.

It is an arithmetic number, because the mean of its divisors is an integer number (3066885).

Almost surely, 2107748480 is an apocalyptic number.

107748480 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 107748480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196280640).

107748480 is an abundant number, since it is smaller than the sum of its proper divisors (284812800).

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

107748480 is an equidigital number, since it uses as much as digits as its factorization.

107748480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8046 (or 8034 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 107748480 is about 10380.1965299314. The cubic root of 107748480 is about 475.8503401639.

The spelling of 107748480 in words is "one hundred seven million, seven hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 8017 13440 16034 24051 32068 40085 48102 56119 64136 80170 96204 112238 120255 128272 160340 168357 192408 224476 240510 256544 280595 320680 336714 384816 448952 481020 513088 561190 641360 673428 769632 841785 897904 962040 1026176 1122380 1282720 1346856 1539264 1683570 1795808 1924080 2244760 2565440 2693712 3078528 3367140 3591616 3848160 4489520 5130880 5387424 6734280 7183232 7696320 8979040 10774848 13468560 15392640 17958080 21549696 26937120 35916160 53874240 107748480