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149007096 = 23327595011
BaseRepresentation
bin10001110000110…
…10101011111000
3101101101100022100
420320122223320
5301121211341
622441423400
73456353010
oct1070325370
9341340270
10149007096
1177124267
1241a9ab60
1324b41ca4
1415b0ac40
15d1353b6
hex8e1aaf8

149007096 has 96 divisors (see below), whose sum is σ = 469123200. Its totient is φ = 41843520.

The previous prime is 149007043. The next prime is 149007107. The reversal of 149007096 is 690700941.

149007096 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 2×1490070962 = 44406229316706432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 149007096.

It is a congruent number.

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, 27231 + ... + 32241.

It is an arithmetic number, because the mean of its divisors is an integer number (4886700).

Almost surely, 2149007096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149007096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234561600).

149007096 is an abundant number, since it is smaller than the sum of its proper divisors (320116104).

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

149007096 is a wasteful number, since it uses less digits than its factorization.

149007096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5089 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 149007096 is about 12206.8462757585. The cubic root of 149007096 is about 530.1543350227.

The spelling of 149007096 in words is "one hundred forty-nine million, seven thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 59 63 72 84 118 126 168 177 236 252 354 413 472 504 531 708 826 1062 1239 1416 1652 2124 2478 3304 3717 4248 4956 5011 7434 9912 10022 14868 15033 20044 29736 30066 35077 40088 45099 60132 70154 90198 105231 120264 140308 180396 210462 280616 295649 315693 360792 420924 591298 631386 841848 886947 1182596 1262772 1773894 2069543 2365192 2525544 2660841 3547788 4139086 5321682 6208629 7095576 8278172 10643364 12417258 16556344 18625887 21286728 24834516 37251774 49669032 74503548 149007096