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116624772 = 22341143761
BaseRepresentation
bin1101111001110…
…00110110000100
322010110011010000
412330320312010
5214323443042
615323401300
72614202625
oct674706604
9263404100
10116624772
115a916a10
1233083230
131b214854
14116bba4c
15a38a74c
hex6f38d84

116624772 has 120 divisors (see below), whose sum is σ = 340778592. Its totient is φ = 34473600.

The previous prime is 116624657. The next prime is 116624773. The reversal of 116624772 is 277426611.

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

It is not an unprimeable number, because it can be changed into a prime (116624773) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 152872 + ... + 153632.

Almost surely, 2116624772 is an apocalyptic number.

116624772 is a gapful number since it is divisible by the number (12) 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 116624772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170389296).

116624772 is an abundant number, since it is smaller than the sum of its proper divisors (224153820).

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

116624772 is a wasteful number, since it uses less digits than its factorization.

116624772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 820 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 116624772 is about 10799.2949769881. The cubic root of 116624772 is about 488.5739071237.

The spelling of 116624772 in words is "one hundred sixteen million, six hundred twenty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 43 44 54 66 81 86 99 108 129 132 162 172 198 258 297 324 387 396 473 516 594 761 774 891 946 1161 1188 1419 1522 1548 1782 1892 2283 2322 2838 3044 3483 3564 4257 4566 4644 5676 6849 6966 8371 8514 9132 12771 13698 13932 16742 17028 20547 25113 25542 27396 32723 33484 38313 41094 50226 51084 61641 65446 75339 76626 82188 98169 100452 123282 130892 150678 153252 196338 226017 246564 294507 301356 359953 392676 452034 589014 678051 719906 883521 904068 1079859 1178028 1356102 1439812 1767042 2159718 2650563 2712204 3239577 3534084 4319436 5301126 6479154 9718731 10602252 12958308 19437462 29156193 38874924 58312386 116624772