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116572608 = 2634113199
BaseRepresentation
bin1101111001011…
…00000111000000
322010100111120000
412330230013000
5214320310413
615322320000
72613564555
oct674540700
9263314500
10116572608
115a8907a9
1233059000
131b1c6b99
14116a6a2c
15a37a073
hex6f2c1c0

116572608 has 140 divisors (see below), whose sum is σ = 350367600. Its totient is φ = 38320128.

The previous prime is 116572601. The next prime is 116572627. The reversal of 116572608 is 806275611.

116572608 = 523 + 533 + ... + 1473.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116572601) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 585693 + ... + 585891.

Almost surely, 2116572608 is an apocalyptic number.

116572608 is a gapful number since it is divisible by the number (18) 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 116572608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175183800).

116572608 is an abundant number, since it is smaller than the sum of its proper divisors (233794992).

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

116572608 is a wasteful number, since it uses less digits than its factorization.

116572608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 116572608 is about 10796.8795492031. The cubic root of 116572608 is about 488.5010530476.

The spelling of 116572608 in words is "one hundred sixteen million, five hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 113 144 162 192 199 216 226 288 324 339 398 432 452 576 597 648 678 796 864 904 1017 1194 1296 1356 1592 1728 1791 1808 2034 2388 2592 2712 3051 3184 3582 3616 4068 4776 5184 5373 5424 6102 6368 7164 7232 8136 9153 9552 10746 10848 12204 12736 14328 16119 16272 18306 19104 21492 21696 22487 24408 28656 32238 32544 36612 38208 42984 44974 48816 57312 64476 65088 67461 73224 85968 89948 97632 114624 128952 134922 146448 171936 179896 195264 202383 257904 269844 292896 343872 359792 404766 515808 539688 585792 607149 719584 809532 1031616 1079376 1214298 1439168 1619064 1821447 2158752 2428596 3238128 3642894 4317504 4857192 6476256 7285788 9714384 12952512 14571576 19428768 29143152 38857536 58286304 116572608