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115214632 = 231319199293
BaseRepresentation
bin1101101111000…
…00100100101000
322000210111202121
412313200210220
5213443332012
615233241024
72566210501
oct667404450
9260714677
10115214632
115a043505
1232703174
131ab3ca50
1411431ba8
15a1aca07
hex6de0928

115214632 has 64 divisors (see below), whose sum is σ = 246960000. Its totient is φ = 49953024.

The previous prime is 115214621. The next prime is 115214641. The reversal of 115214632 is 236412511.

It is a happy number.

It is a super-2 number, since 2×1152146322 = 26548822853790848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115214597 and 115214606.

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, 393078 + ... + 393370.

It is an arithmetic number, because the mean of its divisors is an integer number (3858750).

Almost surely, 2115214632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115214632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123480000).

115214632 is an abundant number, since it is smaller than the sum of its proper divisors (131745368).

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

115214632 is a wasteful number, since it uses less digits than its factorization.

115214632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its digits is 1440, while the sum is 25.

The square root of 115214632 is about 10733.8078984114. The cubic root of 115214632 is about 486.5967594172.

The spelling of 115214632 in words is "one hundred fifteen million, two hundred fourteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 104 152 199 247 293 398 494 586 796 988 1172 1592 1976 2344 2587 3781 3809 5174 5567 7562 7618 10348 11134 15124 15236 20696 22268 30248 30472 44536 49153 58307 72371 98306 116614 144742 196612 233228 289484 393224 466456 578968 757991 1107833 1515982 2215666 3031964 4431332 6063928 8862664 14401829 28803658 57607316 115214632