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148580040 = 23357792239
BaseRepresentation
bin10001101101100…
…10011011001000
3101100120122111110
420312302123020
5301014030130
622424330320
73452623650
oct1066623310
9340518443
10148580040
1176962424
12419139a0
1324a227ab
1415a39360
15d09dab0
hex8db26c8

148580040 has 128 divisors (see below), whose sum is σ = 516096000. Its totient is φ = 33516288.

The previous prime is 148580011. The next prime is 148580059. The reversal of 148580040 is 40085841.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 65241 + ... + 67479.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 2148580040 is an apocalyptic number.

148580040 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 148580040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258048000).

148580040 is an abundant number, since it is smaller than the sum of its proper divisors (367515960).

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

148580040 is a wasteful number, since it uses less digits than its factorization.

148580040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2335 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 148580040 is about 12189.3412455309. The cubic root of 148580040 is about 529.6473743153.

The spelling of 148580040 in words is "one hundred forty-eight million, five hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 79 84 105 120 140 158 168 210 237 280 316 395 420 474 553 632 790 840 948 1106 1185 1580 1659 1896 2212 2239 2370 2765 3160 3318 4424 4478 4740 5530 6636 6717 8295 8956 9480 11060 11195 13272 13434 15673 16590 17912 22120 22390 26868 31346 33180 33585 44780 47019 53736 62692 66360 67170 78365 89560 94038 125384 134340 156730 176881 188076 235095 268680 313460 353762 376152 470190 530643 626920 707524 884405 940380 1061286 1238167 1415048 1768810 1880760 2122572 2476334 2653215 3537620 3714501 4245144 4952668 5306430 6190835 7075240 7429002 9905336 10612860 12381670 14858004 18572505 21225720 24763340 29716008 37145010 49526680 74290020 148580040