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149956740 = 2232519163269
BaseRepresentation
bin10001111000000…
…10100010000100
3101110011120222100
420330002202010
5301342103430
622514032100
73500416443
oct1074024204
9343146870
10149956740
117771279a
1242278630
13250b52cb
1415cb6d5a
15d271960
hex8f02884

149956740 has 144 divisors (see below), whose sum is σ = 483537600. Its totient is φ = 37511424.

The previous prime is 149956733. The next prime is 149956753. The reversal of 149956740 is 47659941.

149956740 is a `hidden beast` number, since 1 + 49 + 9 + 567 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557326 + ... + 557594.

It is an arithmetic number, because the mean of its divisors is an integer number (3357900).

Almost surely, 2149956740 is an apocalyptic number.

149956740 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 149956740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241768800).

149956740 is an abundant number, since it is smaller than the sum of its proper divisors (333580860).

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

149956740 is a wasteful number, since it uses less digits than its factorization.

149956740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 149956740 is about 12245.6825044585. The cubic root of 149956740 is about 531.2782012250.

The spelling of 149956740 in words is "one hundred forty-nine million, nine hundred fifty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 163 171 180 190 228 269 285 326 342 380 489 538 570 652 684 807 815 855 978 1076 1140 1345 1467 1614 1630 1710 1956 2421 2445 2690 2934 3097 3228 3260 3420 4035 4842 4890 5111 5380 5868 6194 7335 8070 9291 9684 9780 10222 12105 12388 14670 15333 15485 16140 18582 20444 24210 25555 27873 29340 30666 30970 37164 43847 45999 46455 48420 51110 55746 61332 61940 76665 87694 91998 92910 102220 111492 131541 139365 153330 175388 183996 185820 219235 229995 263082 278730 306660 394623 438470 459990 526164 557460 657705 789246 833093 876940 919980 1315410 1578492 1666186 1973115 2499279 2630820 3332372 3946230 4165465 4998558 7497837 7892460 8330930 9997116 12496395 14995674 16661860 24992790 29991348 37489185 49985580 74978370 149956740