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1493438310 = 234571320261
BaseRepresentation
bin101100100000100…
…0000111101100110
310212002011112020000
41121001000331212
511024310011220
6404105322130
752003005360
oct13101007546
93762145200
101493438310
116a7009341
12358196346
131aa535710
141024b5d30
158b1a0390
hex59040f66

1493438310 has 160 divisors (see below), whose sum is σ = 4942631232. Its totient is φ = 315083520.

The previous prime is 1493438291. The next prime is 1493438311. The reversal of 1493438310 is 138343941.

It is a super-2 number, since 2×14934383102 = 4460715971551312200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1493438311) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 63580 + ... + 83840.

Almost surely, 21493438310 is an apocalyptic number.

1493438310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1493438310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471315616).

1493438310 is an abundant number, since it is smaller than the sum of its proper divisors (3449192922).

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

1493438310 is a wasteful number, since it uses less digits than its factorization.

1493438310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20300 (or 20291 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1493438310 is about 38645.0295639685. The cubic root of 1493438310 is about 1143.0426338283.

The spelling of 1493438310 in words is "one billion, four hundred ninety-three million, four hundred thirty-eight thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 315 351 378 390 405 455 546 567 585 630 702 810 819 910 945 1053 1134 1170 1365 1638 1755 1890 2106 2457 2730 2835 3510 4095 4914 5265 5670 7371 8190 10530 12285 14742 20261 24570 36855 40522 60783 73710 101305 121566 141827 182349 202610 263393 283654 303915 364698 425481 526786 547047 607830 709135 790179 850962 911745 1094094 1276443 1316965 1418270 1580358 1641141 1823490 1843751 2127405 2370537 2552886 2633930 2735235 3282282 3687502 3829329 3950895 4254810 4741074 5470470 5531253 6382215 7111611 7658658 7901790 8205705 9218755 11062506 11487987 11852685 12764430 14223222 16411410 16593759 18437510 19146645 21334833 22975974 23705370 27656265 33187518 35558055 38293290 42669666 49781277 55312530 57439935 71116110 82968795 99562554 106674165 114879870 149343831 165937590 213348330 248906385 298687662 497812770 746719155 1493438310