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114604632 = 233643457
BaseRepresentation
bin1101101010010…
…11101001011000
321222122112000000
412311023221120
5213314322012
615212213000
72561060202
oct665135130
9258575000
10114604632
115976717a
123246a160
131a9881bc
1411313772
15a0dbddc
hex6d4ba58

114604632 has 112 divisors (see below), whose sum is σ = 330392040. Its totient is φ = 37231488.

The previous prime is 114604559. The next prime is 114604643. The reversal of 114604632 is 236406411.

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

It is a junction number, because it is equal to n+sod(n) for n = 114604596 and 114604605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 250548 + ... + 251004.

Almost surely, 2114604632 is an apocalyptic number.

114604632 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 114604632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165196020).

114604632 is an abundant number, since it is smaller than the sum of its proper divisors (215787408).

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

114604632 is an equidigital number, since it uses as much as digits as its factorization.

114604632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 114604632 is about 10705.3552953650. The cubic root of 114604632 is about 485.7364826567.

The spelling of 114604632 in words is "one hundred fourteen million, six hundred four thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 81 86 108 129 162 172 216 243 258 324 344 387 457 486 516 648 729 774 914 972 1032 1161 1371 1458 1548 1828 1944 2322 2742 2916 3096 3483 3656 4113 4644 5484 5832 6966 8226 9288 10449 10968 12339 13932 16452 19651 20898 24678 27864 31347 32904 37017 39302 41796 49356 58953 62694 74034 78604 83592 98712 111051 117906 125388 148068 157208 176859 222102 235812 250776 296136 333153 353718 444204 471624 530577 666306 707436 888408 1061154 1332612 1414872 1591731 2122308 2665224 3183462 4244616 4775193 6366924 9550386 12733848 14325579 19100772 28651158 38201544 57302316 114604632