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102826500240 = 24351912243161
BaseRepresentation
bin101111111000011101…
…1111110000010010000
3100211102011012102122210
41133300323332002100
53141042041001430
6115123212432120
710300064554662
oct1376073760220
9324364172583
10102826500240
113a676973612
1217b18478640
1399092879a9
144d965c2532
152a1c45b2b0
hex17f0efe090

102826500240 has 80 divisors (see below), whose sum is σ = 320431205376. Its totient is φ = 27276825600.

The previous prime is 102826500239. The next prime is 102826500247. The reversal of 102826500240 is 42005628201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×1028265002403 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 102826500198 and 102826500207.

It is not an unprimeable number, because it can be changed into a prime (102826500247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1075741 + ... + 1167420.

Almost surely, 2102826500240 is an apocalyptic number.

102826500240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102826500240 is an abundant number, since it is smaller than the sum of its proper divisors (217604705136).

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

102826500240 is a wasteful number, since it uses less digits than its factorization.

102826500240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243368 (or 2243362 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The spelling of 102826500240 in words is "one hundred two billion, eight hundred twenty-six million, five hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 7640 9168 11460 15280 22920 45840 2243161 4486322 6729483 8972644 11215805 13458966 17945288 22431610 26917932 33647415 35890576 44863220 53835864 67294830 89726440 107671728 134589660 179452880 269179320 428443751 538358640 856887502 1285331253 1713775004 2142218755 2570662506 3427550008 4284437510 5141325012 6426656265 6855100016 8568875020 10282650024 12853312530 17137750040 20565300048 25706625060 34275500080 51413250120 102826500240