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150556420 = 22573171291
BaseRepresentation
bin10001111100101…
…00111100000100
3101111022001120201
420332110330010
5302020301140
622534540244
73505465000
oct1076247404
9344261521
10150556420
1177a922a3
1242507684
1325265251
1415dd1700
15d33e49a
hex8f94f04

150556420 has 96 divisors (see below), whose sum is σ = 390700800. Its totient is φ = 48545280.

The previous prime is 150556397. The next prime is 150556447. The reversal of 150556420 is 24655051.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115975 + ... + 117265.

It is an arithmetic number, because the mean of its divisors is an integer number (4069800).

Almost surely, 2150556420 is an apocalyptic number.

150556420 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 150556420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195350400).

150556420 is an abundant number, since it is smaller than the sum of its proper divisors (240144380).

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

150556420 is a wasteful number, since it uses less digits than its factorization.

150556420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 150556420 is about 12270.1434384444. The cubic root of 150556420 is about 531.9854566661.

The spelling of 150556420 in words is "one hundred fifty million, five hundred fifty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 343 476 490 595 686 833 980 1190 1291 1372 1666 1715 2380 2582 3332 3430 4165 5164 5831 6455 6860 8330 9037 11662 12910 16660 18074 21947 23324 25820 29155 36148 43894 45185 58310 63259 87788 90370 109735 116620 126518 153629 180740 219470 253036 307258 316295 438940 442813 614516 632590 768145 885626 1075403 1265180 1536290 1771252 2150806 2214065 3072580 4301612 4428130 5377015 7527821 8856260 10754030 15055642 21508060 30111284 37639105 75278210 150556420