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148702080 = 2735411889
BaseRepresentation
bin10001101110100…
…00001110000000
3101100210211220110
420313100032000
5301031431310
622431111320
73453642522
oct1067201600
9340724813
10148702080
1176a3608a
1241972540
1324a661c7
1415a6ba12
15d0c4d20
hex8dd0380

148702080 has 128 divisors (see below), whose sum is σ = 485805600. Its totient is φ = 38666240.

The previous prime is 148702069. The next prime is 148702087. The reversal of 148702080 is 80207841.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1487020802 = 44224617192652800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148702087) 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, 77776 + ... + 79664.

Almost surely, 2148702080 is an apocalyptic number.

148702080 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 148702080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242902800).

148702080 is an abundant number, since it is smaller than the sum of its proper divisors (337103520).

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

148702080 is a wasteful number, since it uses less digits than its factorization.

148702080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 148702080 is about 12194.3462309383. The cubic root of 148702080 is about 529.7923477501.

The spelling of 148702080 in words is "one hundred forty-eight million, seven hundred two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 41 48 60 64 80 82 96 120 123 128 160 164 192 205 240 246 320 328 384 410 480 492 615 640 656 820 960 984 1230 1312 1640 1889 1920 1968 2460 2624 3280 3778 3936 4920 5248 5667 6560 7556 7872 9445 9840 11334 13120 15112 15744 18890 19680 22668 26240 28335 30224 37780 39360 45336 56670 60448 75560 77449 78720 90672 113340 120896 151120 154898 181344 226680 232347 241792 302240 309796 362688 387245 453360 464694 604480 619592 725376 774490 906720 929388 1161735 1208960 1239184 1548980 1813440 1858776 2323470 2478368 3097960 3626880 3717552 4646940 4956736 6195920 7435104 9293880 9913472 12391840 14870208 18587760 24783680 29740416 37175520 49567360 74351040 148702080