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115390494 = 237233137
BaseRepresentation
bin1101110000010…
…11100000011110
322001010110000000
412320023200132
5214014443434
615241115130
72600542302
oct670134036
9261113000
10115390494
115a15364a
1232788aa6
131aba1acb
1411479d02
15a1e4b99
hex6e0b81e

115390494 has 128 divisors (see below), whose sum is σ = 287170560. Its totient is φ = 34642080.

The previous prime is 115390469. The next prime is 115390571. The reversal of 115390494 is 494093511.

It is a happy number.

It is a super-2 number, since 2×1153904942 = 26629932211128072, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3118644 + ... + 3118680.

It is an arithmetic number, because the mean of its divisors is an integer number (2243520).

Almost surely, 2115390494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115390494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143585280).

115390494 is an abundant number, since it is smaller than the sum of its proper divisors (171780066).

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

115390494 is an equidigital number, since it uses as much as digits as its factorization.

115390494 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 115390494 is about 10741.9967417608. The cubic root of 115390494 is about 486.8442117159.

The spelling of 115390494 in words is "one hundred fifteen million, three hundred ninety thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 18 23 27 31 37 46 54 62 69 74 81 93 111 138 162 186 207 222 243 279 333 414 486 558 621 666 713 729 837 851 999 1147 1242 1426 1458 1674 1702 1863 1998 2139 2187 2294 2511 2553 2997 3441 3726 4278 4374 5022 5106 5589 5994 6417 6882 7533 7659 8991 10323 11178 12834 15066 15318 16767 17982 19251 20646 22599 22977 26381 26973 30969 33534 38502 45198 45954 50301 52762 53946 57753 61938 67797 68931 79143 80919 92907 100602 115506 135594 137862 158286 161838 173259 185814 206793 237429 278721 346518 413586 474858 519777 557442 620379 712287 836163 1039554 1240758 1424574 1559331 1672326 1861137 2136861 2508489 3118662 3722274 4273722 5016978 6410583 12821166 19231749 38463498 57695247 115390494