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149072310 = 23254171569
BaseRepresentation
bin10001110001010…
…10100110110110
3101101111122202200
420320222212312
5301130303220
622443045330
73460044102
oct1070524666
9341448680
10149072310
1177169262
1241b10846
1324b6588a
1415b26902
15d149890
hex8e2a9b6

149072310 has 96 divisors (see below), whose sum is σ = 403341120. Its totient is φ = 38169600.

The previous prime is 149072281. The next prime is 149072317. The reversal of 149072310 is 13270941.

149072310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1490723102 = 44445107217472200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149072317) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261706 + ... + 262274.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2149072310 is an apocalyptic number.

149072310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 149072310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201670560).

149072310 is an abundant number, since it is smaller than the sum of its proper divisors (254268810).

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

149072310 is a wasteful number, since it uses less digits than its factorization.

149072310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 149072310 is about 12209.5171894715. The cubic root of 149072310 is about 530.2316656626.

The spelling of 149072310 in words is "one hundred forty-nine million, seventy-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 71 82 90 123 142 205 213 246 355 369 410 426 569 615 639 710 738 1065 1138 1230 1278 1707 1845 2130 2845 2911 3195 3414 3690 5121 5690 5822 6390 8535 8733 10242 14555 17070 17466 23329 25605 26199 29110 40399 43665 46658 51210 52398 69987 80798 87330 116645 121197 130995 139974 201995 209961 233290 242394 261990 349935 363591 403990 419922 605985 699870 727182 1049805 1211970 1656359 1817955 2099610 3312718 3635910 4969077 8281795 9938154 14907231 16563590 24845385 29814462 49690770 74536155 149072310