Search a number
-
+
148926880 = 2551078699
BaseRepresentation
bin10001110000001…
…11000110100000
3101101020021021101
420320013012200
5301111130010
622440004144
73455600104
oct1070070640
9341207241
10148926880
1177079a73
1241a60654
1324b1461b
1415ac9904
15d11b73a
hex8e071a0

148926880 has 48 divisors (see below), whose sum is σ = 355168800. Its totient is φ = 59007232.

The previous prime is 148926859. The next prime is 148926901. The reversal of 148926880 is 88629841.

It is an interprime number because it is at equal distance from previous prime (148926859) and next prime (148926901).

It is a self number, because there is not a number n which added to its sum of digits gives 148926880.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12771 + ... + 21469.

It is an arithmetic number, because the mean of its divisors is an integer number (7399350).

Almost surely, 2148926880 is an apocalyptic number.

148926880 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 148926880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177584400).

148926880 is an abundant number, since it is smaller than the sum of its proper divisors (206241920).

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

148926880 is a wasteful number, since it uses less digits than its factorization.

148926880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8821 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 148926880 is about 12203.5601362881. The cubic root of 148926880 is about 530.0591840874.

The spelling of 148926880 in words is "one hundred forty-eight million, nine hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 107 160 214 428 535 856 1070 1712 2140 3424 4280 8560 8699 17120 17398 34796 43495 69592 86990 139184 173980 278368 347960 695920 930793 1391840 1861586 3723172 4653965 7446344 9307930 14892688 18615860 29785376 37231720 74463440 148926880