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150210396 = 22337431461
BaseRepresentation
bin10001111010000…
…00011101011100
3101110122110221000
420331000131130
5301423213041
622523310300
73502524120
oct1075003534
9343573830
10150210396
1177876326
124237b390
13251738bb
1415d41580
15d2c1bb6
hex8f4075c

150210396 has 96 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 42724800.

The previous prime is 150210391. The next prime is 150210397. The reversal of 150210396 is 693012051.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150210391) by changing a digit.

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, 325606 + ... + 326066.

It is an arithmetic number, because the mean of its divisors is an integer number (4656960).

Almost surely, 2150210396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150210396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

150210396 is an abundant number, since it is smaller than the sum of its proper divisors (296857764).

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

150210396 is a wasteful number, since it uses less digits than its factorization.

150210396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 150210396 is about 12256.0350848062. The cubic root of 150210396 is about 531.5775897691.

The spelling of 150210396 in words is "one hundred fifty million, two hundred ten thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 431 461 756 862 922 1293 1383 1724 1844 2586 2766 3017 3227 3879 4149 5172 5532 6034 6454 7758 8298 9051 9681 11637 12068 12447 12908 15516 16596 18102 19362 23274 24894 27153 29043 36204 38724 46548 49788 54306 58086 81459 87129 108612 116172 162918 174258 198691 325836 348516 397382 596073 794764 1192146 1390837 1788219 2384292 2781674 3576438 4172511 5364657 5563348 7152876 8345022 10729314 12517533 16690044 21458628 25035066 37552599 50070132 75105198 150210396