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106039680 = 273555229
BaseRepresentation
bin1100101001000…
…00100110000000
321101112101002120
412110200212000
5204121232210
614304444240
72425215405
oct624404600
9241471076
10106039680
11549471aa
122b619680
1318c79896
14101242ac
159499270
hex6520980

106039680 has 64 divisors (see below), whose sum is σ = 338007600. Its totient is φ = 28276736.

The previous prime is 106039679. The next prime is 106039691. The reversal of 106039680 is 86930601.

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

It is a super-2 number, since 2×1060396802 = 22488827469004800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 25695 + ... + 29534.

Almost surely, 2106039680 is an apocalyptic number.

106039680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106039680 is an abundant number, since it is smaller than the sum of its proper divisors (231967920).

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

106039680 is an equidigital number, since it uses as much as digits as its factorization.

106039680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55251 (or 55239 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106039680 is about 10297.5569918306. The cubic root of 106039680 is about 473.3213953656.

The spelling of 106039680 in words is "one hundred six million, thirty-nine thousand, six 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 55229 110458 165687 220916 276145 331374 441832 552290 662748 828435 883664 1104580 1325496 1656870 1767328 2209160 2650992 3313740 3534656 4418320 5301984 6627480 7069312 8836640 10603968 13254960 17673280 21207936 26509920 35346560 53019840 106039680