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150152240 = 2457733673
BaseRepresentation
bin10001111001100…
…10010000110000
3101110112112011002
420330302100300
5301414332430
622522141132
73502162430
oct1074622060
9343475132
10150152240
1177836667
12423517a8
13251532a4
1415d282c0
15d2ae845
hex8f32430

150152240 has 80 divisors (see below), whose sum is σ = 404551488. Its totient is φ = 50761728.

The previous prime is 150152239. The next prime is 150152287. The reversal of 150152240 is 42251051.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 39044 + ... + 42716.

Almost surely, 2150152240 is an apocalyptic number.

150152240 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 150152240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202275744).

150152240 is an abundant number, since it is smaller than the sum of its proper divisors (254399248).

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

150152240 is a wasteful number, since it uses less digits than its factorization.

150152240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3766 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 150152240 is about 12253.6623096934. The cubic root of 150152240 is about 531.5089784132.

The spelling of 150152240 in words is "one hundred fifty million, one hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 560 584 730 1022 1168 1460 2044 2555 2920 3673 4088 5110 5840 7346 8176 10220 14692 18365 20440 25711 29384 36730 40880 51422 58768 73460 102844 128555 146920 205688 257110 268129 293840 411376 514220 536258 1028440 1072516 1340645 1876903 2056880 2145032 2681290 3753806 4290064 5362580 7507612 9384515 10725160 15015224 18769030 21450320 30030448 37538060 75076120 150152240