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102192948 = 223311132509
BaseRepresentation
bin1100001011101…
…01011100110100
321010021221101000
412011311130310
5202130133243
614050203300
72350424424
oct605653464
9233257330
10102192948
115275a090
122a283530
1318230a00
14d802484
158e895d3
hex6175734

102192948 has 144 divisors (see below), whose sum is σ = 313588800. Its totient is φ = 28529280.

The previous prime is 102192943. The next prime is 102192949. The reversal of 102192948 is 849291201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102192943) 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, 200518 + ... + 201026.

It is an arithmetic number, because the mean of its divisors is an integer number (2177700).

Almost surely, 2102192948 is an apocalyptic number.

102192948 is a gapful number since it is divisible by the number (18) 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 102192948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156794400).

102192948 is an abundant number, since it is smaller than the sum of its proper divisors (211395852).

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

102192948 is a wasteful number, since it uses less digits than its factorization.

102192948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 538 counting only the distinct ones).

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

The square root of 102192948 is about 10109.0527746174. The cubic root of 102192948 is about 467.5273004923.

The spelling of 102192948 in words is "one hundred two million, one hundred ninety-two thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 169 198 234 286 297 338 351 396 429 468 507 509 572 594 676 702 858 1014 1018 1188 1287 1404 1521 1527 1716 1859 2028 2036 2574 3042 3054 3718 3861 4563 4581 5148 5577 5599 6084 6108 6617 7436 7722 9126 9162 11154 11198 13234 13743 15444 16731 16797 18252 18324 19851 22308 22396 26468 27486 33462 33594 39702 50193 50391 54972 59553 66924 67188 72787 79404 86021 100386 100782 119106 145574 151173 172042 178659 200772 201564 218361 238212 258063 291148 302346 344084 357318 436722 516126 604692 655083 714636 774189 873444 946231 1032252 1310166 1548378 1892462 1965249 2322567 2620332 2838693 3096756 3784924 3930498 4645134 5677386 7860996 8516079 9290268 11354772 17032158 25548237 34064316 51096474 102192948