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149417970 = 2351332267
BaseRepresentation
bin10001110011111…
…10111111110010
3101102011012220220
420321332333302
5301222333340
622454313510
73463013622
oct1071767762
9342135826
10149417970
1177384a29
1242058896
1324c57000
1415bb6882
15d1b6ed0
hex8e7eff2

149417970 has 64 divisors (see below), whose sum is σ = 388644480. Its totient is φ = 36763584.

The previous prime is 149417953. The next prime is 149417977. The reversal of 149417970 is 79714941.

149417970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (149417977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64777 + ... + 67043.

It is an arithmetic number, because the mean of its divisors is an integer number (6072570).

Almost surely, 2149417970 is an apocalyptic number.

149417970 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 149417970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194322240).

149417970 is an abundant number, since it is smaller than the sum of its proper divisors (239226510).

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

149417970 is a wasteful number, since it uses less digits than its factorization.

149417970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 42.

The square root of 149417970 is about 12223.6643442136. The cubic root of 149417970 is about 530.6411725216.

The spelling of 149417970 in words is "one hundred forty-nine million, four hundred seventeen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 169 195 338 390 507 845 1014 1690 2197 2267 2535 4394 4534 5070 6591 6801 10985 11335 13182 13602 21970 22670 29471 32955 34005 58942 65910 68010 88413 147355 176826 294710 383123 442065 766246 884130 1149369 1915615 2298738 3831230 4980599 5746845 9961198 11493690 14941797 24902995 29883594 49805990 74708985 149417970