Search a number
-
+
138652832 = 25233159103
BaseRepresentation
bin10000100001110…
…10110010100000
3100122220021221002
420100322302200
5240443342312
621431451132
73302346443
oct1020726240
9318807832
10138652832
11712a1a1a
123a526aa8
13229580c6
14145b365a
15c28c4c2
hex843aca0

138652832 has 96 divisors (see below), whose sum is σ = 301916160. Its totient is φ = 62472960.

The previous prime is 138652831. The next prime is 138652837. The reversal of 138652832 is 238256831.

138652832 = 342 + 352 + ... + 7462.

It is not an unprimeable number, because it can be changed into a prime (138652831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1346093 + ... + 1346195.

It is an arithmetic number, because the mean of its divisors is an integer number (3144960).

Almost surely, 2138652832 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 138652832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150958080).

138652832 is an abundant number, since it is smaller than the sum of its proper divisors (163263328).

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

138652832 is a wasteful number, since it uses less digits than its factorization.

138652832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 218 counting only the distinct ones).

The product of its digits is 69120, while the sum is 38.

The square root of 138652832 is about 11775.0937151260. The cubic root of 138652832 is about 517.5785244950.

The spelling of 138652832 in words is "one hundred thirty-eight million, six hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 16 23 31 32 46 59 62 92 103 118 124 184 206 236 248 368 412 472 496 713 736 824 944 992 1357 1426 1648 1829 1888 2369 2714 2852 3193 3296 3658 4738 5428 5704 6077 6386 7316 9476 10856 11408 12154 12772 14632 18952 21712 22816 24308 25544 29264 37904 42067 43424 48616 51088 58528 73439 75808 84134 97232 102176 139771 146878 168268 188387 194464 279542 293756 336536 376774 559084 587512 673072 753548 1118168 1175024 1346144 1507096 2236336 2350048 3014192 4332901 4472672 6028384 8665802 17331604 34663208 69326416 138652832