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150843240 = 23325616869
BaseRepresentation
bin10001111110110…
…10111101101000
3101111211122000200
420333122331220
5302103440430
622545032200
73511101132
oct1077327550
9344748020
10150843240
1178168839
1242625660
1325335972
1416068052
15d399460
hex8fdaf68

150843240 has 96 divisors (see below), whose sum is σ = 498349800. Its totient is φ = 39559680.

The previous prime is 150843233. The next prime is 150843271. The reversal of 150843240 is 42348051.

It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 119639844 = 5586^2 + 10938^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18526 + ... + 25394.

Almost surely, 2150843240 is an apocalyptic number.

150843240 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 150843240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249174900).

150843240 is an abundant number, since it is smaller than the sum of its proper divisors (347506560).

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

150843240 is a wasteful number, since it uses less digits than its factorization.

150843240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6947 (or 6940 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 150843240 is about 12281.8255971985. The cubic root of 150843240 is about 532.3230649347.

The spelling of 150843240 in words is "one hundred fifty million, eight hundred forty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 6869 7320 10980 13738 20607 21960 27476 34345 41214 54952 61821 68690 82428 103035 123642 137380 164856 206070 247284 274760 309105 412140 419009 494568 618210 824280 838018 1236420 1257027 1676036 2095045 2472840 2514054 3352072 3771081 4190090 5028108 6285135 7542162 8380180 10056216 12570270 15084324 16760360 18855405 25140540 30168648 37710810 50281080 75421620 150843240