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148968640 = 2653115017
BaseRepresentation
bin10001110000100…
…01010011000000
3101101022101120001
420320101103000
5301113444030
622440525344
73456132622
oct1070212300
9341271501
10148968640
11770a8387
1241a80854
1324b2a632
1415adac12
15d128cca
hex8e114c0

148968640 has 56 divisors (see below), whose sum is σ = 366198912. Its totient is φ = 57661440.

The previous prime is 148968619. The next prime is 148968647. The reversal of 148968640 is 46869841.

It is not an unprimeable number, because it can be changed into a prime (148968647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2412 + ... + 17428.

Almost surely, 2148968640 is an apocalyptic number.

148968640 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 148968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183099456).

148968640 is an abundant number, since it is smaller than the sum of its proper divisors (217230272).

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

148968640 is a wasteful number, since it uses less digits than its factorization.

148968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15065 (or 15055 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The square root of 148968640 is about 12205.2709924852. The cubic root of 148968640 is about 530.1087233935.

The spelling of 148968640 in words is "one hundred forty-eight million, nine hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 15017 30034 60068 75085 120136 150170 240272 300340 465527 480544 600680 931054 961088 1201360 1862108 2327635 2402720 3724216 4655270 4805440 7448432 9310540 14896864 18621080 29793728 37242160 74484320 148968640