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107479920 = 24352319471
BaseRepresentation
bin1100110100000…
…00001101110000
321111020112201210
412122000031300
5210003324140
614355400120
72443364352
oct632001560
9244215653
10107479920
1155740289
122bbb3040
13193622b2
14103bb0d2
159680d80
hex6680370

107479920 has 80 divisors (see below), whose sum is σ = 347692032. Its totient is φ = 27413760.

The previous prime is 107479907. The next prime is 107479921. The reversal of 107479920 is 29974701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107479921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4216 + ... + 15255.

Almost surely, 2107479920 is an apocalyptic number.

107479920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107479920 is an abundant number, since it is smaller than the sum of its proper divisors (240212112).

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

107479920 is a wasteful number, since it uses less digits than its factorization.

107479920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19510 (or 19504 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 107479920 is about 10367.2522878533. The cubic root of 107479920 is about 475.4546634632.

The spelling of 107479920 in words is "one hundred seven million, four hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 19471 38942 58413 77884 97355 116826 155768 194710 233652 292065 311536 389420 447833 467304 584130 778840 895666 934608 1168260 1343499 1557680 1791332 2239165 2336520 2686998 3582664 4478330 4673040 5373996 6717495 7165328 8956660 10747992 13434990 17913320 21495984 26869980 35826640 53739960 107479920