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149293260 = 223351914551
BaseRepresentation
bin10001110011000…
…00100011001100
3101101220212212000
420321200203030
5301204341020
622451512300
73461654214
oct1071404314
9341825760
10149293260
11772aa266
1241bb8690
1324c1230c
1415b83244
15d190090
hex8e608cc

149293260 has 96 divisors (see below), whose sum is σ = 488947200. Its totient is φ = 37713600.

The previous prime is 149293237. The next prime is 149293271. The reversal of 149293260 is 62392941.

149293260 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

149293260 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2985 + ... + 17535.

It is an arithmetic number, because the mean of its divisors is an integer number (5093200).

Almost surely, 2149293260 is an apocalyptic number.

149293260 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 149293260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244473600).

149293260 is an abundant number, since it is smaller than the sum of its proper divisors (339653940).

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

149293260 is a wasteful number, since it uses less digits than its factorization.

149293260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14588 (or 14580 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 149293260 is about 12218.5621085298. The cubic root of 149293260 is about 530.4935002341.

The spelling of 149293260 in words is "one hundred forty-nine million, two hundred ninety-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 5130 10260 14551 29102 43653 58204 72755 87306 130959 145510 174612 218265 261918 276469 291020 392877 436530 523836 552938 654795 785754 829407 873060 1105876 1309590 1382345 1571508 1658814 1964385 2488221 2619180 2764690 3317628 3928770 4147035 4976442 5529380 7464663 7857540 8294070 9952884 12441105 14929326 16588140 24882210 29858652 37323315 49764420 74646630 149293260