Search a number
-
+
149237440 = 2651142397
BaseRepresentation
bin10001110010100…
…10111011000000
3101101211001021121
420321102323000
5301201044230
622450402024
73461332402
oct1071227300
9341731247
10149237440
1177271330
1241b90314
1324bc2aa1
1415b6ab72
15d17d77a
hex8e52ec0

149237440 has 56 divisors (see below), whose sum is σ = 387687312. Its totient is φ = 54266880.

The previous prime is 149237437. The next prime is 149237467. The reversal of 149237440 is 44732941.

It is a happy number.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 149237396 and 149237405.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17679 + ... + 24718.

Almost surely, 2149237440 is an apocalyptic number.

149237440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149237440 is an abundant number, since it is smaller than the sum of its proper divisors (238449872).

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

149237440 is a wasteful number, since it uses less digits than its factorization.

149237440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42425 (or 42415 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 149237440 is about 12216.2776654757. The cubic root of 149237440 is about 530.4273757072.

The spelling of 149237440 in words is "one hundred forty-nine million, two hundred thirty-seven thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 42397 84794 169588 211985 339176 423970 466367 678352 847940 932734 1356704 1695880 1865468 2331835 2713408 3391760 3730936 4663670 6783520 7461872 9327340 13567040 14923744 18654680 29847488 37309360 74618720 149237440