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114455484 = 223311137411
BaseRepresentation
bin1101101001001…
…11001110111100
321222100221102000
412310213032330
5213300033414
615205102300
72556566313
oct664471674
9258327360
10114455484
1159675110
12323b7990
131a935350
14112b527a
15a0acb09
hex6d273bc

114455484 has 96 divisors (see below), whose sum is σ = 348660480. Its totient is φ = 32011200.

The previous prime is 114455401. The next prime is 114455491. The reversal of 114455484 is 484554411.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11739 + ... + 19149.

It is an arithmetic number, because the mean of its divisors is an integer number (3631880).

Almost surely, 2114455484 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 114455484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174330240).

114455484 is an abundant number, since it is smaller than the sum of its proper divisors (234204996).

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

114455484 is a wasteful number, since it uses less digits than its factorization.

114455484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7448 (or 7440 counting only the distinct ones).

The product of its digits is 51200, while the sum is 36.

The square root of 114455484 is about 10698.3869812229. The cubic root of 114455484 is about 485.5256765312.

The spelling of 114455484 in words is "one hundred fourteen million, four hundred fifty-five thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7411 7722 14822 15444 22233 29644 44466 66699 81521 88932 96343 133398 163042 192686 200097 244563 266796 289029 326084 385372 400194 489126 578058 733689 800388 867087 978252 1059773 1156116 1467378 1734174 2119546 2201067 2601261 2934756 3179319 3468348 4239092 4402134 5202522 6358638 8804268 9537957 10405044 12717276 19075914 28613871 38151828 57227742 114455484