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149985420 = 223513375197
BaseRepresentation
bin10001111000010…
…01100010001100
3101110020001022120
420330021202030
5301344013140
622514412540
73500566164
oct1074114214
9343201276
10149985420
11777322a2
1242291150
13250c5390
1415cc35a4
15d27a1d0
hex8f0988c

149985420 has 96 divisors (see below), whose sum is σ = 464576448. Its totient is φ = 35914752.

The previous prime is 149985403. The next prime is 149985467. The reversal of 149985420 is 24589941.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26262 + ... + 31458.

It is an arithmetic number, because the mean of its divisors is an integer number (4839338).

Almost surely, 2149985420 is an apocalyptic number.

149985420 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 149985420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232288224).

149985420 is an abundant number, since it is smaller than the sum of its proper divisors (314591028).

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

149985420 is a wasteful number, since it uses less digits than its factorization.

149985420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5259 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 149985420 is about 12246.8534734437. The cubic root of 149985420 is about 531.3120689647.

The spelling of 149985420 in words is "one hundred forty-nine million, nine hundred eighty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2886 4810 5197 5772 7215 9620 10394 14430 15591 20788 25985 28860 31182 51970 62364 67561 77955 103940 135122 155910 192289 202683 270244 311820 337805 384578 405366 576867 675610 769156 810732 961445 1013415 1153734 1351220 1922890 2026830 2307468 2499757 2884335 3845780 4053660 4999514 5768670 7499271 9999028 11537340 12498785 14998542 24997570 29997084 37496355 49995140 74992710 149985420