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114097464 = 233313179227
BaseRepresentation
bin1101100110011…
…11110100111000
321221200202022000
412303033310320
5213202104324
615153301000
72553545445
oct663176470
9257622260
10114097464
1159450128
1232264760
131a83b3c0
14112209cc
15a03b9c9
hex6ccfd38

114097464 has 128 divisors (see below), whose sum is σ = 344736000. Its totient is φ = 34756992.

The previous prime is 114097433. The next prime is 114097469. The reversal of 114097464 is 464790411.

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 (114097469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 502519 + ... + 502745.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2114097464 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 114097464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172368000).

114097464 is an abundant number, since it is smaller than the sum of its proper divisors (230638536).

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

114097464 is a wasteful number, since it uses less digits than its factorization.

114097464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 114097464 is about 10681.6414468938. The cubic root of 114097464 is about 485.0189017326.

The spelling of 114097464 in words is "one hundred fourteen million, ninety-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 179 216 227 234 312 351 358 454 468 537 681 702 716 908 936 1074 1362 1404 1432 1611 1816 2043 2148 2327 2724 2808 2951 3222 4086 4296 4654 4833 5448 5902 6129 6444 6981 8172 8853 9308 9666 11804 12258 12888 13962 16344 17706 18616 19332 20943 23608 24516 26559 27924 35412 38664 40633 41886 49032 53118 55848 62829 70824 79677 81266 83772 106236 121899 125658 159354 162532 167544 212472 243798 251316 318708 325064 365697 487596 502632 528229 637416 731394 975192 1056458 1097091 1462788 1584687 2112916 2194182 2925576 3169374 4225832 4388364 4754061 6338748 8776728 9508122 12677496 14262183 19016244 28524366 38032488 57048732 114097464