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116501652 = 22341033491
BaseRepresentation
bin1101111000110…
…10110010010100
322010012220020000
412330122302110
5214311023102
615321011300
72613150651
oct674326224
9263186200
10116501652
115a842463
1233023b30
131b1a07b7
1411688c28
15a36401c
hex6f1ac94

116501652 has 60 divisors (see below), whose sum is σ = 307603296. Its totient is φ = 38445840.

The previous prime is 116501633. The next prime is 116501659. The reversal of 116501652 is 256105611.

It is a happy number.

116501652 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 0 + 1 + 652 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116501659) 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, 31627 + ... + 35117.

Almost surely, 2116501652 is an apocalyptic number.

116501652 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 116501652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153801648).

116501652 is an abundant number, since it is smaller than the sum of its proper divisors (191101644).

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

116501652 is a wasteful number, since it uses less digits than its factorization.

116501652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 116501652 is about 10793.5930996124. The cubic root of 116501652 is about 488.4019185069.

The spelling of 116501652 in words is "one hundred sixteen million, five hundred one thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 309 324 412 618 927 1236 1854 2781 3491 3708 5562 6982 8343 10473 11124 13964 16686 20946 31419 33372 41892 62838 94257 125676 188514 282771 359573 377028 565542 719146 1078719 1131084 1438292 2157438 3236157 4314876 6472314 9708471 12944628 19416942 29125413 38833884 58250826 116501652