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106147650 = 23527432351
BaseRepresentation
bin1100101001110…
…10111101000010
321101201212012110
412110322331002
5204133211100
614311040150
72426145240
oct624727502
9241655173
10106147650
1154a10334
122b670056
1318cb6a7b
1410151790
1594bb250
hex653af42

106147650 has 96 divisors (see below), whose sum is σ = 307980288. Its totient is φ = 23688000.

The previous prime is 106147619. The next prime is 106147651. The reversal of 106147650 is 56741601.

It is a super-2 number, since 2×1061476502 = 22534647201045000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (106147651) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43975 + ... + 46325.

It is an arithmetic number, because the mean of its divisors is an integer number (3208128).

Almost surely, 2106147650 is an apocalyptic number.

106147650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106147650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153990144).

106147650 is an abundant number, since it is smaller than the sum of its proper divisors (201832638).

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

106147650 is a wasteful number, since it uses less digits than its factorization.

106147650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2416 (or 2411 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 106147650 is about 10302.7981636058. The cubic root of 106147650 is about 473.4819867465.

The spelling of 106147650 in words is "one hundred six million, one hundred forty-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 43 50 70 75 86 105 129 150 175 210 215 258 301 350 430 525 602 645 903 1050 1075 1290 1505 1806 2150 2351 3010 3225 4515 4702 6450 7053 7525 9030 11755 14106 15050 16457 22575 23510 32914 35265 45150 49371 58775 70530 82285 98742 101093 117550 164570 176325 202186 246855 303279 352650 411425 493710 505465 606558 707651 822850 1010930 1234275 1415302 1516395 2122953 2468550 2527325 3032790 3538255 4245906 5054650 7076510 7581975 10614765 15163950 17691275 21229530 35382550 53073825 106147650