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102955644 = 223311791097
BaseRepresentation
bin1100010001011…
…11101001111100
321011201200121000
412020233221330
5202324040034
614114410300
72360052141
oct610575174
9234650530
10102955644
1153130110
122a590990
1318439bcc
14d9603c8
15908a599
hex622fa7c

102955644 has 96 divisors (see below), whose sum is σ = 295142400. Its totient is φ = 30775680.

The previous prime is 102955579. The next prime is 102955679. The reversal of 102955644 is 446559201.

102955644 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 5 + 5 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102955599 and 102955608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93304 + ... + 94400.

It is an arithmetic number, because the mean of its divisors is an integer number (3074400).

Almost surely, 2102955644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102955644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147571200).

102955644 is an abundant number, since it is smaller than the sum of its proper divisors (192186756).

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

102955644 is a wasteful number, since it uses less digits than its factorization.

102955644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 102955644 is about 10146.7060665026. The cubic root of 102955644 is about 468.6875167915.

The spelling of 102955644 in words is "one hundred two million, nine hundred fifty-five thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 79 99 108 132 158 198 237 297 316 396 474 594 711 869 948 1097 1188 1422 1738 2133 2194 2607 2844 3291 3476 4266 4388 5214 6582 7821 8532 9873 10428 12067 13164 15642 19746 23463 24134 29619 31284 36201 39492 46926 48268 59238 72402 86663 93852 108603 118476 144804 173326 217206 259989 325809 346652 434412 519978 651618 779967 953293 1039956 1303236 1559934 1906586 2339901 2859879 3119868 3813172 4679802 5719758 8579637 9359604 11439516 17159274 25738911 34318548 51477822 102955644