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149131020 = 223512719571
BaseRepresentation
bin10001110001110…
…00111100001100
3101101121122022010
420320320330030
5301134143040
622444221220
73460410213
oct1070707414
9341548263
10149131020
11771a9385
1241b3a810
1324b8650c
1415b4007a
15d15be80
hex8e38f0c

149131020 has 48 divisors (see below), whose sum is σ = 420876288. Its totient is φ = 39453120.

The previous prime is 149131007. The next prime is 149131033. The reversal of 149131020 is 20131941.

It is an interprime number because it is at equal distance from previous prime (149131007) and next prime (149131033).

It is a super-2 number, since 2×1491310202 = 44480122252480800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 2166 + ... + 17405.

It is an arithmetic number, because the mean of its divisors is an integer number (8768256).

Almost surely, 2149131020 is an apocalyptic number.

149131020 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 149131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210438144).

149131020 is an abundant number, since it is smaller than the sum of its proper divisors (271745268).

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

149131020 is a wasteful number, since it uses less digits than its factorization.

149131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19710 (or 19708 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 149131020 is about 12211.9212247705. The cubic root of 149131020 is about 530.3012645825.

Adding to 149131020 its reverse (20131941), we get a palindrome (169262961).

The spelling of 149131020 in words is "one hundred forty-nine million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 127 254 381 508 635 762 1270 1524 1905 2540 3810 7620 19571 39142 58713 78284 97855 117426 195710 234852 293565 391420 587130 1174260 2485517 4971034 7456551 9942068 12427585 14913102 24855170 29826204 37282755 49710340 74565510 149131020