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116653460 = 225711211359
BaseRepresentation
bin1101111001111…
…11110110010100
322010111121110112
412330333312110
5214330402320
615324142152
72614352360
oct674776624
9263447415
10116653460
115a936520
1233097958
131b224921
14116c82a0
15a393ec5
hex6f3fd94

116653460 has 96 divisors (see below), whose sum is σ = 307722240. Its totient is φ = 36086400.

The previous prime is 116653451. The next prime is 116653529. The reversal of 116653460 is 64356611.

It is a congruent number.

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, 324761 + ... + 325119.

It is an arithmetic number, because the mean of its divisors is an integer number (3205440).

Almost surely, 2116653460 is an apocalyptic number.

116653460 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 116653460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153861120).

116653460 is an abundant number, since it is smaller than the sum of its proper divisors (191068780).

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

116653460 is a wasteful number, since it uses less digits than its factorization.

116653460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 116653460 is about 10800.6231301717. The cubic root of 116653460 is about 488.6139645343.

The spelling of 116653460 in words is "one hundred sixteen million, six hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 211 220 308 359 385 422 718 770 844 1055 1436 1477 1540 1795 2110 2321 2513 2954 3590 3949 4220 4642 5026 5908 7180 7385 7898 9284 10052 11605 12565 14770 15796 16247 19745 23210 25130 27643 29540 32494 39490 46420 50260 55286 64988 75749 78980 81235 110572 138215 151498 162470 276430 302996 324940 378745 530243 552860 757490 833239 1060486 1514980 1666478 2120972 2651215 3332956 4166195 5302430 5832673 8332390 10604860 11665346 16664780 23330692 29163365 58326730 116653460