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148904040 = 23357117477
BaseRepresentation
bin10001110000000…
…01100001101000
3101101012002221110
420320001201220
5301104412130
622435310320
73455443365
oct1070014150
9341162843
10148904040
117706389a
1241a4b3a0
1324b070cc
1415ac146c
15d114ab0
hex8e01868

148904040 has 64 divisors (see below), whose sum is σ = 453029760. Its totient is φ = 39146240.

The previous prime is 148904039. The next prime is 148904051. The reversal of 148904040 is 40409841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 148903989 and 148904007.

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, 219 + ... + 17258.

It is an arithmetic number, because the mean of its divisors is an integer number (7078590).

Almost surely, 2148904040 is an apocalyptic number.

148904040 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 148904040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226514880).

148904040 is an abundant number, since it is smaller than the sum of its proper divisors (304125720).

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

148904040 is a wasteful number, since it uses less digits than its factorization.

148904040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17562 (or 17558 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 148904040 is about 12202.6243079102. The cubic root of 148904040 is about 530.0320853959.

The spelling of 148904040 in words is "one hundred forty-eight million, nine hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 71 120 142 213 284 355 426 568 710 852 1065 1420 1704 2130 2840 4260 8520 17477 34954 52431 69908 87385 104862 139816 174770 209724 262155 349540 419448 524310 699080 1048620 1240867 2097240 2481734 3722601 4963468 6204335 7445202 9926936 12408670 14890404 18613005 24817340 29780808 37226010 49634680 74452020 148904040