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102948240 = 2435428951
BaseRepresentation
bin1100010001011…
…01110110010000
321011201022102210
412020231312100
5202323320430
614114312120
72360021433
oct610556620
9234638383
10102948240
115312559a
122a588640
1318436725
14d95b81a
1590882b0
hex622dd90

102948240 has 40 divisors (see below), whose sum is σ = 319140288. Its totient is φ = 27452800.

The previous prime is 102948227. The next prime is 102948259. The reversal of 102948240 is 42849201.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 102948198 and 102948207.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 214236 + ... + 214715.

Almost surely, 2102948240 is an apocalyptic number.

102948240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102948240 is an abundant number, since it is smaller than the sum of its proper divisors (216192048).

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

102948240 is a wasteful number, since it uses less digits than its factorization.

102948240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428967 (or 428961 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 102948240 is about 10146.3412124765. The cubic root of 102948240 is about 468.6762813849.

The spelling of 102948240 in words is "one hundred two million, nine hundred forty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 428951 857902 1286853 1715804 2144755 2573706 3431608 4289510 5147412 6434265 6863216 8579020 10294824 12868530 17158040 20589648 25737060 34316080 51474120 102948240