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149909900 = 22527331647
BaseRepresentation
bin10001110111101…
…11000110001100
3101110002012201112
420323313012030
5301334104100
622513031152
73500133050
oct1073670614
9343065645
10149909900
1177690588
12422554b8
1325099baa
1415ca3c60
15d262b35
hex8ef718c

149909900 has 72 divisors (see below), whose sum is σ = 373476096. Its totient is φ = 51163200.

The previous prime is 149909891. The next prime is 149909941. The reversal of 149909900 is 9909941.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231377 + ... + 232023.

It is an arithmetic number, because the mean of its divisors is an integer number (5187168).

Almost surely, 2149909900 is an apocalyptic number.

149909900 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 149909900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186738048).

149909900 is an abundant number, since it is smaller than the sum of its proper divisors (223566196).

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

149909900 is a wasteful number, since it uses less digits than its factorization.

149909900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 41.

The square root of 149909900 is about 12243.7698442922. The cubic root of 149909900 is about 531.2228793537. Note that the first 3 decimals are identical.

Adding to 149909900 its sum of digits (41), we get a palindrome (149909941).

The spelling of 149909900 in words is "one hundred forty-nine million, nine hundred nine thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 331 350 647 662 700 1294 1324 1655 2317 2588 3235 3310 4529 4634 6470 6620 8275 9058 9268 11585 12940 16175 16550 18116 22645 23170 32350 33100 45290 46340 57925 64700 90580 113225 115850 214157 226450 231700 428314 452900 856628 1070785 1499099 2141570 2998198 4283140 5353925 5996396 7495495 10707850 14990990 21415700 29981980 37477475 74954950 149909900