Search a number
-
+
149432940 = 223252928627
BaseRepresentation
bin10001110100000…
…10101001101100
3101102011222110100
420322002221230
5301223323230
622454511100
73463105356
oct1072025154
9342158410
10149432940
11773951a8
1242065490
1324c60a77
1415bbc0d6
15d1bb660
hex8e82a6c

149432940 has 72 divisors (see below), whose sum is σ = 468926640. Its totient is φ = 38473344.

The previous prime is 149432939. The next prime is 149432953. The reversal of 149432940 is 49234941.

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

It is a junction number, because it is equal to n+sod(n) for n = 149432895 and 149432904.

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, 9094 + ... + 19533.

It is an arithmetic number, because the mean of its divisors is an integer number (6512870).

Almost surely, 2149432940 is an apocalyptic number.

149432940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149432940 is an abundant number, since it is smaller than the sum of its proper divisors (319493700).

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

149432940 is a wasteful number, since it uses less digits than its factorization.

149432940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28671 (or 28666 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 149432940 is about 12224.2766657173. The cubic root of 149432940 is about 530.6588933554.

The spelling of 149432940 in words is "one hundred forty-nine million, four hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 28627 57254 85881 114508 143135 171762 257643 286270 343524 429405 515286 572540 830183 858810 1030572 1288215 1660366 1717620 2490549 2576430 3320732 4150915 4981098 5152860 7471647 8301830 9962196 12452745 14943294 16603660 24905490 29886588 37358235 49810980 74716470 149432940