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148712640 = 2635971597
BaseRepresentation
bin10001101110100…
…10110011000000
3101100211101101120
420313102303000
5301032301030
622431232240
73454015356
oct1067226300
9340741346
10148712640
1176a4300a
1241978680
1324a6ac5b
1415a717d6
15d0c8010
hex8dd2cc0

148712640 has 112 divisors (see below), whose sum is σ = 477328992. Its totient is φ = 39223296.

The previous prime is 148712623. The next prime is 148712659. The reversal of 148712640 is 46217841.

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, 92322 + ... + 93918.

It is an arithmetic number, because the mean of its divisors is an integer number (4261866).

Almost surely, 2148712640 is an apocalyptic number.

148712640 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 148712640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238664496).

148712640 is an abundant number, since it is smaller than the sum of its proper divisors (328616352).

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

148712640 is a wasteful number, since it uses less digits than its factorization.

148712640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1714 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 148712640 is about 12194.7792107934. The cubic root of 148712640 is about 529.8048884282.

The spelling of 148712640 in words is "one hundred forty-eight million, seven hundred twelve thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 97 120 160 192 194 240 291 320 388 480 485 582 776 960 970 1164 1455 1552 1597 1940 2328 2910 3104 3194 3880 4656 4791 5820 6208 6388 7760 7985 9312 9582 11640 12776 15520 15970 18624 19164 23280 23955 25552 31040 31940 38328 46560 47910 51104 63880 76656 93120 95820 102208 127760 153312 154909 191640 255520 306624 309818 383280 464727 511040 619636 766560 774545 929454 1239272 1533120 1549090 1858908 2323635 2478544 3098180 3717816 4647270 4957088 6196360 7435632 9294540 9914176 12392720 14871264 18589080 24785440 29742528 37178160 49570880 74356320 148712640