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149064000 = 263536211
BaseRepresentation
bin10001110001010…
…00100101000000
3101101111020100220
420320220211000
5301130022000
622442543040
73460010631
oct1070504500
9341436326
10149064000
1177162a98
1241b07a80
1324b61b67
1415b23888
15d1471a0
hex8e28940

149064000 has 112 divisors (see below), whose sum is σ = 492288576. Its totient is φ = 39744000.

The previous prime is 149063977. The next prime is 149064011. The reversal of 149064000 is 460941.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20895 + ... + 27105.

Almost surely, 2149064000 is an apocalyptic number.

149064000 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 149064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246144288).

149064000 is an abundant number, since it is smaller than the sum of its proper divisors (343224576).

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

149064000 is an equidigital number, since it uses as much as digits as its factorization.

149064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6241 (or 6221 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 149064000 is about 12209.1768764319. The cubic root of 149064000 is about 530.2218129341.

The spelling of 149064000 in words is "one hundred forty-nine million, sixty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 6211 8000 12000 12422 18633 24000 24844 31055 37266 49688 62110 74532 93165 99376 124220 149064 155275 186330 198752 248440 298128 310550 372660 397504 465825 496880 596256 621100 745320 776375 931650 993760 1192512 1242200 1490640 1552750 1863300 1987520 2329125 2484400 2981280 3105500 3726600 4658250 4968800 5962560 6211000 7453200 9316500 9937600 12422000 14906400 18633000 24844000 29812800 37266000 49688000 74532000 149064000