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149285400 = 233521122619
BaseRepresentation
bin10001110010111…
…10101000011000
3101101220111001220
420321132220120
5301204113100
622451412040
73461622255
oct1071365030
9341814056
10149285400
11772a4370
1241bb4020
1324c0b874
1415b8042c
15d18caa0
hex8e5ea18

149285400 has 96 divisors (see below), whose sum is σ = 504878400. Its totient is φ = 36188800.

The previous prime is 149285393. The next prime is 149285407. The reversal of 149285400 is 4582941.

It is an interprime number because it is at equal distance from previous prime (149285393) and next prime (149285407).

It is a super-2 number, since 2×1492854002 = 44572261306320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149285407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4710 + ... + 17909.

It is an arithmetic number, because the mean of its divisors is an integer number (5259150).

Almost surely, 2149285400 is an apocalyptic number.

149285400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

149285400 is an abundant number, since it is smaller than the sum of its proper divisors (355593000).

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

149285400 is a wasteful number, since it uses less digits than its factorization.

149285400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22649 (or 22640 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 149285400 is about 12218.2404625216. The cubic root of 149285400 is about 530.4841902534.

The spelling of 149285400 in words is "one hundred forty-nine million, two hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 22619 45238 67857 90476 113095 135714 180952 226190 248809 271428 339285 452380 497618 542856 565475 678570 746427 904760 995236 1130950 1244045 1357140 1492854 1696425 1990472 2261900 2488090 2714280 2985708 3392850 3732135 4523800 4976180 5971416 6220225 6785700 7464270 9952360 12440450 13571400 14928540 18660675 24880900 29857080 37321350 49761800 74642700 149285400