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149973642 = 23271327043
BaseRepresentation
bin10001111000001…
…10101010001010
3101110012110011100
420330012222022
5301343124032
622514242230
73500516640
oct1074065212
9343173140
10149973642
1177724465
1242286376
13250bcc00
1415cbd190
15d27697c
hex8f06a8a

149973642 has 72 divisors (see below), whose sum is σ = 402184224. Its totient is φ = 39547872.

The previous prime is 149973611. The next prime is 149973667. The reversal of 149973642 is 246379941.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17773 + ... + 24815.

It is an arithmetic number, because the mean of its divisors is an integer number (5585892).

Almost surely, 2149973642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149973642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201092112).

149973642 is an abundant number, since it is smaller than the sum of its proper divisors (252210582).

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

149973642 is a wasteful number, since it uses less digits than its factorization.

149973642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7084 (or 7068 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 149973642 is about 12246.3726057964. The cubic root of 149973642 is about 531.2981610409.

The spelling of 149973642 in words is "one hundred forty-nine million, nine hundred seventy-three thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 169 182 234 273 338 507 546 819 1014 1183 1521 1638 2366 3042 3549 7043 7098 10647 14086 21129 21294 42258 49301 63387 91559 98602 126774 147903 183118 274677 295806 443709 549354 640913 824031 887418 1190267 1281826 1648062 1922739 2380534 3570801 3845478 5768217 7141602 8331869 10712403 11536434 16663738 21424806 24995607 49991214 74986821 149973642