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106062480 = 2433549103
BaseRepresentation
bin1100101001001…
…10001010010000
321101120112101000
412110212022100
5204122444410
614305142000
72425342026
oct624461220
9241515330
10106062480
1154962347
122b62a900
1318c87084
141012c716
1594a0dc0
hex6526290

106062480 has 80 divisors (see below), whose sum is σ = 365333760. Its totient is φ = 28282752.

The previous prime is 106062433. The next prime is 106062497. The reversal of 106062480 is 84260601.

106062480 is a `hidden beast` number, since 10 + 606 + 2 + 48 + 0 = 666.

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

It is a super-2 number, since 2×1060624802 = 22498499327500800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 22392 + ... + 26711.

It is an arithmetic number, because the mean of its divisors is an integer number (4566672).

Almost surely, 2106062480 is an apocalyptic number.

106062480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106062480 is an abundant number, since it is smaller than the sum of its proper divisors (259271280).

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

106062480 is a wasteful number, since it uses less digits than its factorization.

106062480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49125 (or 49113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 106062480 is about 10298.6639910233. The cubic root of 106062480 is about 473.3553164866.

The spelling of 106062480 in words is "one hundred six million, sixty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 49103 98206 147309 196412 245515 294618 392824 441927 491030 589236 736545 785648 883854 982060 1178472 1325781 1473090 1767708 1964120 2209635 2356944 2651562 2946180 3535416 3928240 4419270 5303124 5892360 6628905 7070832 8838540 10606248 11784720 13257810 17677080 21212496 26515620 35354160 53031240 106062480