Search a number
-
+
150070440 = 23351396199
BaseRepresentation
bin10001111000111…
…10010010101000
3101110101100221110
420330132102220
5301404223230
622520310320
73501402102
oct1074362250
9343340843
10150070440
1177790163
12423123a0
1325124ca0
1415d06572
15d2954b0
hex8f1e4a8

150070440 has 64 divisors (see below), whose sum is σ = 484848000. Its totient is φ = 36940032.

The previous prime is 150070433. The next prime is 150070457. The reversal of 150070440 is 44070051.

It is a super-2 number, since 2×1500704402 = 45042273923587200, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 46540 + ... + 49659.

It is an arithmetic number, because the mean of its divisors is an integer number (7575750).

Almost surely, 2150070440 is an apocalyptic number.

150070440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150070440 is an abundant number, since it is smaller than the sum of its proper divisors (334777560).

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

150070440 is a wasteful number, since it uses less digits than its factorization.

150070440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96226 (or 96222 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 150070440 is about 12250.3240773459. The cubic root of 150070440 is about 531.4124423197.

The spelling of 150070440 in words is "one hundred fifty million, seventy thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 96199 192398 288597 384796 480995 577194 769592 961990 1154388 1250587 1442985 1923980 2308776 2501174 2885970 3751761 3847960 5002348 5771940 6252935 7503522 10004696 11543880 12505870 15007044 18758805 25011740 30014088 37517610 50023480 75035220 150070440