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148669920 = 253257443
BaseRepresentation
bin10001101110010…
…00010111100000
3101100202012210100
420313020113200
5301024414140
622430302400
73453450000
oct1067102740
9340665710
10148669920
1176a13a03
1241957a00
1324a54689
1415a60000
15d0ba530
hex8dc85e0

148669920 has 360 divisors, whose sum is σ = 605621016. Its totient is φ = 33191424.

The previous prime is 148669901. The next prime is 148669933. The reversal of 148669920 is 29966841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×1486699202 = 44205490225612800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3457419 + ... + 3457461.

Almost surely, 2148669920 is an apocalyptic number.

148669920 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 148669920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302810508).

148669920 is an abundant number, since it is smaller than the sum of its proper divisors (456951096).

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

148669920 is an equidigital number, since it uses as much as digits as its factorization.

148669920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 148669920 is about 12193.0275157567. The cubic root of 148669920 is about 529.7541520272.

The spelling of 148669920 in words is "one hundred forty-eight million, six hundred sixty-nine thousand, nine hundred twenty".