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149976036 = 2234789743
BaseRepresentation
bin10001111000001…
…11001111100100
3101110012120110000
420330013033210
5301343213121
622514301300
73500526630
oct1074071744
9343176400
10149976036
1177726241
1242287830
13250c1022
1415cbddc0
15d277526
hex8f073e4

149976036 has 120 divisors (see below), whose sum is σ = 453720960. Its totient is φ = 42311808.

The previous prime is 149976019. The next prime is 149976037. The reversal of 149976036 is 630679941.

149976036 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1499760362 = 44985622748546592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 149975982 and 149976000.

It is not an unprimeable number, because it can be changed into a prime (149976037) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201481 + ... + 202223.

It is an arithmetic number, because the mean of its divisors is an integer number (3781008).

Almost surely, 2149976036 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 149976036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226860480).

149976036 is an abundant number, since it is smaller than the sum of its proper divisors (303744924).

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

149976036 is a wasteful number, since it uses less digits than its factorization.

149976036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 149976036 is about 12246.4703486352. The cubic root of 149976036 is about 531.3009880289.

The spelling of 149976036 in words is "one hundred forty-nine million, nine hundred seventy-six thousand, thirty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 89 108 126 162 178 189 252 267 324 356 378 534 567 623 743 756 801 1068 1134 1246 1486 1602 1869 2229 2268 2403 2492 2972 3204 3738 4458 4806 5201 5607 6687 7209 7476 8916 9612 10402 11214 13374 14418 15603 16821 20061 20804 22428 26748 28836 31206 33642 40122 46809 50463 60183 62412 66127 67284 80244 93618 100926 120366 132254 140427 187236 198381 201852 240732 264508 280854 396762 421281 462889 561708 595143 793524 842562 925778 1190286 1388667 1685124 1785429 1851556 2380572 2777334 3570858 4166001 5356287 5554668 7141716 8332002 10712574 12498003 16664004 21425148 24996006 37494009 49992012 74988018 149976036