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149082640 = 2457535023
BaseRepresentation
bin10001110001011…
…01001000010000
3101101112011221021
420320231020100
5301131121030
622443205224
73460116160
oct1070551020
9341464837
10149082640
1177175aa3
1241b16814
1324b6a4a5
1415b2a5a0
15d14c97a
hex8e2d210

149082640 has 80 divisors (see below), whose sum is σ = 403688448. Its totient is φ = 50139648.

The previous prime is 149082617. The next prime is 149082653. The reversal of 149082640 is 46280941.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 149082596 and 149082605.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27169 + ... + 32191.

Almost surely, 2149082640 is an apocalyptic number.

149082640 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 149082640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201844224).

149082640 is an abundant number, since it is smaller than the sum of its proper divisors (254605808).

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

149082640 is a wasteful number, since it uses less digits than its factorization.

149082640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5096 (or 5090 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 149082640 is about 12209.9402127938. The cubic root of 149082640 is about 530.2439128881.

The spelling of 149082640 in words is "one hundred forty-nine million, eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1855 2120 2968 3710 4240 5023 5936 7420 10046 14840 20092 25115 29680 35161 40184 50230 70322 80368 100460 140644 175805 200920 266219 281288 351610 401840 532438 562576 703220 1064876 1331095 1406440 1863533 2129752 2662190 2812880 3727066 4259504 5324380 7454132 9317665 10648760 14908264 18635330 21297520 29816528 37270660 74541320 149082640