Search a number
-
+
152669040 = 24351733677
BaseRepresentation
bin10010001100110…
…00101101110000
3101122021101112220
421012120231300
5303040402130
623052121040
73532444146
oct1106305560
9348241486
10152669040
11791a5567
1243166180
1325824a14
14163c1596
15d60a410
hex9198b70

152669040 has 80 divisors (see below), whose sum is σ = 476139168. Its totient is φ = 40465408.

The previous prime is 152669039. The next prime is 152669053. The reversal of 152669040 is 40966251.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 152668992 and 152669010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39682 + ... + 43358.

Almost surely, 2152669040 is an apocalyptic number.

152669040 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 152669040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238069584).

152669040 is an abundant number, since it is smaller than the sum of its proper divisors (323470128).

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

152669040 is a wasteful number, since it uses less digits than its factorization.

152669040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3866 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 152669040 is about 12355.9313691846. The cubic root of 152669040 is about 534.4621957503.

The spelling of 152669040 in words is "one hundred fifty-two million, six hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 173 240 346 519 692 865 1038 1384 1730 2076 2595 2768 3460 3677 4152 5190 6920 7354 8304 10380 11031 13840 14708 18385 20760 22062 29416 36770 41520 44124 55155 58832 73540 88248 110310 147080 176496 220620 294160 441240 636121 882480 1272242 1908363 2544484 3180605 3816726 5088968 6361210 7633452 9541815 10177936 12722420 15266904 19083630 25444840 30533808 38167260 50889680 76334520 152669040