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148880320 = 2651034517
BaseRepresentation
bin10001101111110…
…11101111000000
3101101010220101221
420313323233000
5301103132240
622435004424
73455314261
oct1067735700
9341126357
10148880320
1177047a96
1241a39714
1324ac9384
1415ab6968
15d10ca4a
hex8dfbbc0

148880320 has 56 divisors (see below), whose sum is σ = 358042464. Its totient is φ = 58960896.

The previous prime is 148880317. The next prime is 148880323. The reversal of 148880320 is 23088841.

It is an interprime number because it is at equal distance from previous prime (148880317) and next prime (148880323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148880323) 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, 30702 + ... + 35218.

Almost surely, 2148880320 is an apocalyptic number.

148880320 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 148880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179021232).

148880320 is an abundant number, since it is smaller than the sum of its proper divisors (209162144).

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

148880320 is a wasteful number, since it uses less digits than its factorization.

148880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4637 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

The square root of 148880320 is about 12201.6523471209. The cubic root of 148880320 is about 530.0039396883.

The spelling of 148880320 in words is "one hundred forty-eight million, eight hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 160 206 320 412 515 824 1030 1648 2060 3296 4120 4517 6592 8240 9034 16480 18068 22585 32960 36136 45170 72272 90340 144544 180680 289088 361360 465251 722720 930502 1445440 1861004 2326255 3722008 4652510 7444016 9305020 14888032 18610040 29776064 37220080 74440160 148880320