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150342480 = 2434523201
BaseRepresentation
bin10001111011000…
…00101101010000
3101110220012010000
420331200231100
5301441424410
622530210000
73503614161
oct1075405520
9343805100
10150342480
1177956592
1242423900
13251bba62
1415d77768
15d2eadc0
hex8f60b50

150342480 has 100 divisors (see below), whose sum is σ = 522184212. Its totient is φ = 40089600.

The previous prime is 150342461. The next prime is 150342523. The reversal of 150342480 is 84243051.

150342480 is a `hidden beast` number, since 150 + 34 + 2 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103063104 + 47279376 = 10152^2 + 6876^2 .

It is a super-2 number, since 2×1503424802 = 45205722585100800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5121 + ... + 18080.

Almost surely, 2150342480 is an apocalyptic number.

150342480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150342480 is an abundant number, since it is smaller than the sum of its proper divisors (371841732).

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

150342480 is a wasteful number, since it uses less digits than its factorization.

150342480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23226 (or 23211 counting only the distinct ones).

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

The square root of 150342480 is about 12261.4224297183. The cubic root of 150342480 is about 531.7333542308.

The spelling of 150342480 in words is "one hundred fifty million, three hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 23201 46402 69603 92804 116005 139206 185608 208809 232010 278412 348015 371216 417618 464020 556824 626427 696030 835236 928040 1044045 1113648 1252854 1392060 1670472 1856080 1879281 2088090 2505708 2784120 3132135 3340944 3758562 4176180 5011416 5568240 6264270 7517124 8352360 9396405 10022832 12528540 15034248 16704720 18792810 25057080 30068496 37585620 50114160 75171240 150342480