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148117360 = 2457189293
BaseRepresentation
bin10001101010000…
…01011101110000
3101022201010211011
420311001131300
5300404223420
622410400304
73445656016
oct1065013560
9338633734
10148117360
1176676846
1241730094
13248c0011
14159588b6
15d00b95a
hex8d41770

148117360 has 80 divisors (see below), whose sum is σ = 354352320. Its totient is φ = 57559040.

The previous prime is 148117339. The next prime is 148117363. The reversal of 148117360 is 63711841.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148117363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 505374 + ... + 505666.

It is an arithmetic number, because the mean of its divisors is an integer number (4429404).

Almost surely, 2148117360 is an apocalyptic number.

148117360 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 148117360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177176160).

148117360 is an abundant number, since it is smaller than the sum of its proper divisors (206234960).

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

148117360 is a wasteful number, since it uses less digits than its factorization.

148117360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 148117360 is about 12170.3475710433. The cubic root of 148117360 is about 529.0970265958.

The spelling of 148117360 in words is "one hundred forty-eight million, one hundred seventeen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 89 142 178 284 293 355 356 445 568 586 710 712 890 1136 1172 1420 1424 1465 1780 2344 2840 2930 3560 4688 5680 5860 6319 7120 11720 12638 20803 23440 25276 26077 31595 41606 50552 52154 63190 83212 101104 104015 104308 126380 130385 166424 208030 208616 252760 260770 332848 416060 417232 505520 521540 832120 1043080 1664240 1851467 2086160 3702934 7405868 9257335 14811736 18514670 29623472 37029340 74058680 148117360