Search a number
-
+
30513840 = 2435741443
BaseRepresentation
bin111010001100…
…1101010110000
32010102021010020
41310121222300
530302420330
63010003440
7520235430
oct164315260
963367106
1030513840
1116251555
12a276580
136424b36
1440a42c0
152a2b210
hex1d19ab0

30513840 has 160 divisors (see below), whose sum is σ = 110992896. Its totient is φ = 6789120.

The previous prime is 30513839. The next prime is 30513851. The reversal of 30513840 is 4831503.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30513840.

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, 68659 + ... + 69101.

Almost surely, 230513840 is an apocalyptic number.

30513840 is a gapful number since it is divisible by the number (30) 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 30513840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55496448).

30513840 is an abundant number, since it is smaller than the sum of its proper divisors (80479056).

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

30513840 is a wasteful number, since it uses less digits than its factorization.

30513840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 30513840 is about 5523.9333812058. The cubic root of 30513840 is about 312.4872400123.

The spelling of 30513840 in words is "thirty million, five hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 41 42 48 56 60 70 80 82 84 105 112 120 123 140 164 168 205 210 240 246 280 287 328 336 410 420 443 492 560 574 615 656 820 840 861 886 984 1148 1230 1329 1435 1640 1680 1722 1772 1968 2215 2296 2460 2658 2870 3101 3280 3444 3544 4305 4430 4592 4920 5316 5740 6202 6645 6888 7088 8610 8860 9303 9840 10632 11480 12404 13290 13776 15505 17220 17720 18163 18606 21264 22960 24808 26580 31010 34440 35440 36326 37212 46515 49616 53160 54489 62020 68880 72652 74424 90815 93030 106320 108978 124040 127141 145304 148848 181630 186060 217956 248080 254282 272445 290608 363260 372120 381423 435912 508564 544890 635705 726520 744240 762846 871824 1017128 1089780 1271410 1453040 1525692 1907115 2034256 2179560 2542820 3051384 3814230 4359120 5085640 6102768 7628460 10171280 15256920 30513840