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102948912 = 243211103631
BaseRepresentation
bin1100010001011…
…10000000110000
321011201100100200
412020232000300
5202323331122
614114315200
72360023413
oct610560060
9234640320
10102948912
1153126050
122a588b00
1318436b21
14d95bb7a
1590885ac
hex622e030

102948912 has 120 divisors (see below), whose sum is σ = 317860608. Its totient is φ = 30844800.

The previous prime is 102948899. The next prime is 102948947. The reversal of 102948912 is 219849201.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162837 + ... + 163467.

Almost surely, 2102948912 is an apocalyptic number.

102948912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102948912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158930304).

102948912 is an abundant number, since it is smaller than the sum of its proper divisors (214911696).

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

102948912 is a wasteful number, since it uses less digits than its factorization.

102948912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 759 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 102948912 is about 10146.3743278079. The cubic root of 102948912 is about 468.6773011523.

The spelling of 102948912 in words is "one hundred two million, nine hundred forty-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 103 132 144 176 198 206 264 309 396 412 528 618 631 792 824 927 1133 1236 1262 1584 1648 1854 1893 2266 2472 2524 3399 3708 3786 4532 4944 5048 5679 6798 6941 7416 7572 9064 10096 10197 11358 13596 13882 14832 15144 18128 20394 20823 22716 27192 27764 30288 40788 41646 45432 54384 55528 62469 64993 81576 83292 90864 111056 124938 129986 163152 166584 194979 249876 259972 333168 389958 499752 519944 584937 714923 779916 999504 1039888 1169874 1429846 1559832 2144769 2339748 2859692 3119664 4289538 4679496 5719384 6434307 8579076 9358992 11438768 12868614 17158152 25737228 34316304 51474456 102948912