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102916240 = 2457374967
BaseRepresentation
bin1100010001001…
…10000010010000
321011122200112121
412020212002100
5202321304430
614113504024
72356526230
oct610460220
9234580477
10102916240
1153103549
122a572014
1318424cab
14d94dcc0
15907da7a
hex6226090

102916240 has 80 divisors (see below), whose sum is σ = 280910592. Its totient is φ = 34324992.

The previous prime is 102916201. The next prime is 102916259. The reversal of 102916240 is 42619201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18237 + ... + 23203.

Almost surely, 2102916240 is an apocalyptic number.

102916240 is a gapful number since it is divisible by the number (10) 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 102916240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140455296).

102916240 is an abundant number, since it is smaller than the sum of its proper divisors (177994352).

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

102916240 is a wasteful number, since it uses less digits than its factorization.

102916240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5024 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 102916240 is about 10144.7641668005. The cubic root of 102916240 is about 468.6277158948.

The spelling of 102916240 in words is "one hundred two million, nine hundred sixteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 2072 2590 2960 4144 4967 5180 9934 10360 19868 20720 24835 34769 39736 49670 69538 79472 99340 139076 173845 183779 198680 278152 347690 367558 397360 556304 695380 735116 918895 1286453 1390760 1470232 1837790 2572906 2781520 2940464 3675580 5145812 6432265 7351160 10291624 12864530 14702320 20583248 25729060 51458120 102916240