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114491040 = 2535972459
BaseRepresentation
bin1101101001011…
…11111010100000
321222102202011220
412310233322200
5213302203130
615205535040
72560105056
oct664577240
9258382156
10114491040
11596998a4
1232414480
131a9485a1
14112c41d6
15a0b8410
hex6d2fea0

114491040 has 96 divisors (see below), whose sum is σ = 364512960. Its totient is φ = 30203904.

The previous prime is 114491023. The next prime is 114491051. The reversal of 114491040 is 40194411.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-4 number, since 4×1144910404 (a number of 33 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 114491040.

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, 45331 + ... + 47789.

It is an arithmetic number, because the mean of its divisors is an integer number (3797010).

Almost surely, 2114491040 is an apocalyptic number.

114491040 is a gapful number since it is divisible by the number (10) 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 114491040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182256480).

114491040 is an abundant number, since it is smaller than the sum of its proper divisors (250021920).

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

114491040 is a wasteful number, since it uses less digits than its factorization.

114491040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2574 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114491040 is about 10700.0485980205. The cubic root of 114491040 is about 485.5759480808.

The spelling of 114491040 in words is "one hundred fourteen million, four hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 97 120 160 194 240 291 388 480 485 582 776 970 1164 1455 1552 1940 2328 2459 2910 3104 3880 4656 4918 5820 7377 7760 9312 9836 11640 12295 14754 15520 19672 23280 24590 29508 36885 39344 46560 49180 59016 73770 78688 98360 118032 147540 196720 236064 238523 295080 393440 477046 590160 715569 954092 1180320 1192615 1431138 1908184 2385230 2862276 3577845 3816368 4770460 5724552 7155690 7632736 9540920 11449104 14311380 19081840 22898208 28622760 38163680 57245520 114491040