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149039280 = 243251315923
BaseRepresentation
bin10001110001000…
…10100010110000
3101101102222110100
420320202202300
5301123224110
622442232400
73456545565
oct1070424260
9341388410
10149039280
1177146465
1241ab5700
1324b53830
1415b1886c
15d13ebc0
hex8e228b0

149039280 has 120 divisors (see below), whose sum is σ = 539059248. Its totient is φ = 36684288.

The previous prime is 149039279. The next prime is 149039281. The reversal of 149039280 is 82930941.

149039280 is a `hidden beast` number, since 1 + 490 + 3 + 92 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (149039279) and next prime (149039281).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (149039281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399 + ... + 17321.

Almost surely, 2149039280 is an apocalyptic number.

149039280 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 149039280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269529624).

149039280 is an abundant number, since it is smaller than the sum of its proper divisors (390019968).

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

149039280 is a wasteful number, since it uses less digits than its factorization.

149039280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15955 (or 15946 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 149039280 is about 12208.1644811986. The cubic root of 149039280 is about 530.1925015693.

The spelling of 149039280 in words is "one hundred forty-nine million, thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 15923 31846 47769 63692 79615 95538 127384 143307 159230 191076 206999 238845 254768 286614 318460 382152 413998 477690 573228 620997 636920 716535 764304 827996 955380 1034995 1146456 1241994 1273840 1433070 1655992 1862991 1910760 2069990 2292912 2483988 2866140 3104985 3311984 3725982 3821520 4139980 4967976 5732280 6209970 7451964 8279960 9314955 9935952 11464560 12419940 14903928 16559920 18629910 24839880 29807856 37259820 49679760 74519640 149039280