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102949056 = 263472837
BaseRepresentation
bin1100010001011…
…10000011000000
321011201100120000
412020232003000
5202323332211
614114320000
72360024010
oct610560300
9234640500
10102949056
1153126171
122a589000
1318436c02
14d95bc40
159088656
hex622e0c0

102949056 has 140 divisors (see below), whose sum is σ = 348892368. Its totient is φ = 29403648.

The previous prime is 102949039. The next prime is 102949057. The reversal of 102949056 is 650949201.

It is a super-2 number, since 2×1029490562 = 21197016262582272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102949056.

It is not an unprimeable number, because it can be changed into a prime (102949057) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34870 + ... + 37706.

Almost surely, 2102949056 is an apocalyptic number.

102949056 is a gapful number since it is divisible by the number (16) 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 102949056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174446184).

102949056 is an abundant number, since it is smaller than the sum of its proper divisors (245943312).

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

102949056 is an equidigital number, since it uses as much as digits as its factorization.

102949056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 102949056 is about 10146.3814239363. The cubic root of 102949056 is about 468.6775196733.

The spelling of 102949056 in words is "one hundred two million, nine hundred forty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 144 162 168 189 192 216 224 252 288 324 336 378 432 448 504 567 576 648 672 756 864 1008 1134 1296 1344 1512 1728 2016 2268 2592 2837 3024 4032 4536 5184 5674 6048 8511 9072 11348 12096 17022 18144 19859 22696 25533 34044 36288 39718 45392 51066 59577 68088 76599 79436 90784 102132 119154 136176 153198 158872 178731 181568 204264 229797 238308 272352 306396 317744 357462 408528 459594 476616 536193 544704 612792 635488 714924 817056 919188 953232 1072386 1225584 1270976 1429848 1608579 1634112 1838376 1906464 2144772 2451168 2859696 3217158 3676752 3812928 4289544 4902336 5719392 6434316 7353504 8579088 11438784 12868632 14707008 17158176 25737264 34316352 51474528 102949056