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148013580 = 2235111321327
BaseRepresentation
bin10001101001010…
…00001000001100
3101022111212110110
420310220020030
5300342413310
622404240020
73445044321
oct1064501014
9338455413
10148013580
1176605880
12416a0010
1324884a00
141592cb48
15cedad20
hex8d2820c

148013580 has 144 divisors (see below), whose sum is σ = 489936384. Its totient is φ = 33096960.

The previous prime is 148013527. The next prime is 148013587. The reversal of 148013580 is 85310841.

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

It is not an unprimeable number, because it can be changed into a prime (148013587) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110877 + ... + 112203.

It is an arithmetic number, because the mean of its divisors is an integer number (3402336).

Almost surely, 2148013580 is an apocalyptic number.

148013580 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 148013580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244968192).

148013580 is an abundant number, since it is smaller than the sum of its proper divisors (341922804).

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

148013580 is a wasteful number, since it uses less digits than its factorization.

148013580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 148013580 is about 12166.0831823558. The cubic root of 148013580 is about 528.9734252418.

It can be divided in two parts, 14801 and 3580, that added together give a palindrome (18381).

The spelling of 148013580 in words is "one hundred forty-eight million, thirteen thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 169 195 220 260 286 330 338 390 429 507 572 660 676 715 780 845 858 1014 1327 1430 1690 1716 1859 2028 2145 2535 2654 2860 3380 3718 3981 4290 5070 5308 5577 6635 7436 7962 8580 9295 10140 11154 13270 14597 15924 17251 18590 19905 22308 26540 27885 29194 34502 37180 39810 43791 51753 55770 58388 69004 72985 79620 86255 87582 103506 111540 145970 172510 175164 189761 207012 218955 224263 258765 291940 345020 379522 437910 448526 517530 569283 672789 759044 875820 897052 948805 1035060 1121315 1138566 1345578 1897610 2242630 2277132 2466893 2691156 2846415 3363945 3795220 4485260 4933786 5692830 6727890 7400679 9867572 11385660 12334465 13455780 14801358 24668930 29602716 37003395 49337860 74006790 148013580