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148968012 = 223293509
BaseRepresentation
bin10001110000100…
…01001001001100
3101101022100200210
420320101021030
5301113434022
622440522420
73456131034
oct1070211114
9341270623
10148968012
11770a7966
1241a80410
1324b2a26b
1415ada8c4
15d128a0c
hex8e1124c

148968012 has 48 divisors (see below), whose sum is σ = 360712800. Its totient is φ = 47849536.

The previous prime is 148967971. The next prime is 148968023. The reversal of 148968012 is 210869841.

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, 292414 + ... + 292922.

It is an arithmetic number, because the mean of its divisors is an integer number (7514850).

Almost surely, 2148968012 is an apocalyptic number.

148968012 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 148968012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180356400).

148968012 is an abundant number, since it is smaller than the sum of its proper divisors (211744788).

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

148968012 is an equidigital number, since it uses as much as digits as its factorization.

148968012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 148968012 is about 12205.2452658683. The cubic root of 148968012 is about 530.1079784744.

The spelling of 148968012 in words is "one hundred forty-eight million, nine hundred sixty-eight thousand, twelve".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 509 841 1018 1527 1682 2036 2523 3054 3364 5046 6108 10092 14761 24389 29522 44283 48778 59044 73167 88566 97556 146334 177132 292668 428069 856138 1284207 1712276 2568414 5136828 12414001 24828002 37242003 49656004 74484006 148968012