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149998240 = 2557199673
BaseRepresentation
bin10001111000011…
…00101010100000
3101110020200220101
420330030222200
5301344420430
622514552144
73500651440
oct1074145240
9343220811
10149998240
1177740997
1242298654
13250cb172
1415cc8120
15d27ddca
hex8f0caa0

149998240 has 96 divisors (see below), whose sum is σ = 407635200. Its totient is φ = 51093504.

The previous prime is 149998187. The next prime is 149998267. The reversal of 149998240 is 42899941.

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 15 ways as a sum of consecutive naturals, for example, 222544 + ... + 223216.

It is an arithmetic number, because the mean of its divisors is an integer number (4246200).

Almost surely, 2149998240 is an apocalyptic number.

149998240 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 149998240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203817600).

149998240 is an abundant number, since it is smaller than the sum of its proper divisors (257636960).

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

149998240 is a wasteful number, since it uses less digits than its factorization.

149998240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 149998240 is about 12247.3768620060. The cubic root of 149998240 is about 531.3272064953.

The spelling of 149998240 in words is "one hundred forty-nine million, nine hundred ninety-eight thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 199 224 280 398 560 673 796 995 1120 1346 1393 1592 1990 2692 2786 3184 3365 3980 4711 5384 5572 6368 6730 6965 7960 9422 10768 11144 13460 13930 15920 18844 21536 22288 23555 26920 27860 31840 37688 44576 47110 53840 55720 75376 94220 107680 111440 133927 150752 188440 222880 267854 376880 535708 669635 753760 937489 1071416 1339270 1874978 2142832 2678540 3749956 4285664 4687445 5357080 7499912 9374890 10714160 14999824 18749780 21428320 29999648 37499560 74999120 149998240