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148680072 = 233213715073
BaseRepresentation
bin10001101110010…
…10110110001000
3101100202201201100
420313022312020
5301030230242
622430421400
73453521412
oct1067126610
9340681640
10148680072
1176a205a2
1241961860
1324a59198
1415a639b2
15d0bd54c
hex8dcad88

148680072 has 48 divisors (see below), whose sum is σ = 405641340. Its totient is φ = 49195008.

The previous prime is 148680053. The next prime is 148680083. The reversal of 148680072 is 270086841.

It can be written as a sum of positive squares in 2 ways, for example, as 148498596 + 181476 = 12186^2 + 426^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 2328 + ... + 17400.

Almost surely, 2148680072 is an apocalyptic number.

148680072 is a gapful number since it is divisible by the number (12) 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 148680072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202820670).

148680072 is an abundant number, since it is smaller than the sum of its proper divisors (256961268).

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

148680072 is a wasteful number, since it uses less digits than its factorization.

148680072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222 (or 15215 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 148680072 is about 12193.4438121476. The cubic root of 148680072 is about 529.7662099287.

The spelling of 148680072 in words is "one hundred forty-eight million, six hundred eighty thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 137 274 411 548 822 1096 1233 1644 2466 3288 4932 9864 15073 30146 45219 60292 90438 120584 135657 180876 271314 361752 542628 1085256 2065001 4130002 6195003 8260004 12390006 16520008 18585009 24780012 37170018 49560024 74340036 148680072