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10313730 = 2345717107
BaseRepresentation
bin100111010110…
…000000000010
3201101222210000
4213112000002
510120014410
61005020430
7153444120
oct47260002
921358700
1010313730
115904949
123554716
1321a15cb
141526910
15d8adc0
hex9d6002

10313730 has 160 divisors (see below), whose sum is σ = 33872256. Its totient is φ = 2198016.

The previous prime is 10313717. The next prime is 10313749. The reversal of 10313730 is 3731301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 96337 + ... + 96443.

Almost surely, 210313730 is an apocalyptic number.

10313730 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 10313730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936128).

10313730 is an abundant number, since it is smaller than the sum of its proper divisors (23558526).

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

10313730 is a wasteful number, since it uses less digits than its factorization.

10313730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 18.

The square root of 10313730 is about 3211.4996496964. The cubic root of 10313730 is about 217.6733457558.

10313730 divided by its sum of digits (18) gives a triangular number (572985 = T1070).

It can be divided in two parts, 1031 and 3730, that added together give a square (4761 = 692).

The spelling of 10313730 in words is "ten million, three hundred thirteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 27 30 34 35 42 45 51 54 63 70 81 85 90 102 105 107 119 126 135 153 162 170 189 210 214 238 255 270 306 315 321 357 378 405 459 510 535 567 595 630 642 714 749 765 810 918 945 963 1070 1071 1134 1190 1377 1498 1530 1605 1785 1819 1890 1926 2142 2247 2295 2754 2835 2889 3210 3213 3570 3638 3745 4494 4590 4815 5355 5457 5670 5778 6426 6741 6885 7490 8667 9095 9630 9639 10710 10914 11235 12733 13482 13770 14445 16065 16371 17334 18190 19278 20223 22470 25466 27285 28890 32130 32742 33705 38199 40446 43335 48195 49113 54570 60669 63665 67410 76398 81855 86670 96390 98226 101115 114597 121338 127330 147339 163710 190995 202230 229194 245565 294678 303345 343791 381990 491130 572985 606690 687582 736695 1031373 1145970 1473390 1718955 2062746 3437910 5156865 10313730