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102701004 = 223719229281
BaseRepresentation
bin1100001111100…
…01011111001100
321011020202021220
412013301133030
5202242413004
614105123340
72354641560
oct607613714
9234222256
10102701004
1152a7686a
122a489550
131837b033
14d8d56a0
159039dd9
hex61f17cc

102701004 has 96 divisors (see below), whose sum is σ = 290572800. Its totient is φ = 27578880.

The previous prime is 102700973. The next prime is 102701033. The reversal of 102701004 is 400107201.

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, 365344 + ... + 365624.

It is an arithmetic number, because the mean of its divisors is an integer number (3026800).

Almost surely, 2102701004 is an apocalyptic number.

102701004 is a gapful number since it is divisible by the number (14) 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 102701004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145286400).

102701004 is an abundant number, since it is smaller than the sum of its proper divisors (187871796).

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

102701004 is a wasteful number, since it uses less digits than its factorization.

102701004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 102701004 is about 10134.1503837273. The cubic root of 102701004 is about 468.3007964743.

Adding to 102701004 its reverse (400107201), we get a palindrome (502808205).

The spelling of 102701004 in words is "one hundred two million, seven hundred one thousand, four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 229 266 281 399 458 532 562 687 798 843 916 1124 1374 1596 1603 1686 1967 2748 3206 3372 3934 4351 4809 5339 5901 6412 7868 8702 9618 10678 11802 13053 16017 17404 19236 21356 23604 26106 30457 32034 37373 52212 60914 64068 64349 74746 91371 112119 121828 128698 149492 182742 193047 224238 257396 365484 386094 448476 450443 772188 900886 1222631 1351329 1801772 2445262 2702658 3667893 4890524 5405316 7335786 8558417 14671572 17116834 25675251 34233668 51350502 102701004