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148152720 = 24353119913
BaseRepresentation
bin10001101010010…
…10000110010000
3101022202221022210
420311022012100
5300411341340
622411232120
73446164062
oct1065120620
9338687283
10148152720
11766a0371
1241748640
1324903141
1415967732
15d017180
hex8d4a190

148152720 has 80 divisors (see below), whose sum is σ = 474112512. Its totient is φ = 38231040.

The previous prime is 148152703. The next prime is 148152731. The reversal of 148152720 is 27251841.

It is a tau number, because it is divible by the number of its divisors (80).

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

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, 2517 + ... + 17396.

Almost surely, 2148152720 is an apocalyptic number.

148152720 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 148152720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237056256).

148152720 is an abundant number, since it is smaller than the sum of its proper divisors (325959792).

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

148152720 is a wasteful number, since it uses less digits than its factorization.

148152720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19960 (or 19954 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 148152720 is about 12171.8001955339. The cubic root of 148152720 is about 529.1391269552.

The spelling of 148152720 in words is "one hundred forty-eight million, one hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 19913 39826 59739 79652 99565 119478 159304 199130 238956 298695 318608 398260 477912 597390 617303 796520 955824 1194780 1234606 1593040 1851909 2389560 2469212 3086515 3703818 4779120 4938424 6173030 7407636 9259545 9876848 12346060 14815272 18519090 24692120 29630544 37038180 49384240 74076360 148152720