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130788240 = 243511107463
BaseRepresentation
bin1111100101110…
…10101110010000
3100010002201201220
413302322232100
5231440210430
620551125040
73145452552
oct762725620
9303081656
10130788240
1167910160
1237973780
13211334bb
14135274d2
15b737110
hex7cbab90

130788240 has 160 divisors (see below), whose sum is σ = 447399936. Its totient is φ = 31342080.

The previous prime is 130788239. The next prime is 130788253. The reversal of 130788240 is 42887031.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 282249 + ... + 282711.

Almost surely, 2130788240 is an apocalyptic number.

130788240 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 130788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223699968).

130788240 is an abundant number, since it is smaller than the sum of its proper divisors (316611696).

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

130788240 is a wasteful number, since it uses less digits than its factorization.

130788240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 591 counting only the distinct ones).

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

The square root of 130788240 is about 11436.2686222386. The cubic root of 130788240 is about 507.6015020190.

The spelling of 130788240 in words is "one hundred thirty million, seven hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 107 110 120 132 165 176 214 220 240 264 321 330 428 440 463 528 535 642 660 856 880 926 1070 1177 1284 1320 1389 1605 1712 1852 2140 2315 2354 2568 2640 2778 3210 3531 3704 4280 4630 4708 5093 5136 5556 5885 6420 6945 7062 7408 8560 9260 9416 10186 11112 11770 12840 13890 14124 15279 17655 18520 18832 20372 22224 23540 25465 25680 27780 28248 30558 35310 37040 40744 47080 49541 50930 55560 56496 61116 70620 76395 81488 94160 99082 101860 111120 122232 141240 148623 152790 198164 203720 244464 247705 282480 297246 305580 396328 407440 495410 544951 594492 611160 743115 792656 990820 1089902 1188984 1222320 1486230 1634853 1981640 2179804 2377968 2724755 2972460 3269706 3963280 4359608 5449510 5944920 6539412 8174265 8719216 10899020 11889840 13078824 16348530 21798040 26157648 32697060 43596080 65394120 130788240