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390130830 = 23452343487
BaseRepresentation
bin10111010000001…
…110110010001110
31000012002200220000
4113100032302032
51244333141310
6102413505130
712445025445
oct2720166216
91005080800
10390130830
11190245081
12aa7a21a6
1362a9745b
1439b55d5c
15243b44c0
hex1740ec8e

390130830 has 160 divisors (see below), whose sum is σ = 1122384384. Its totient is φ = 96997824.

The previous prime is 390130817. The next prime is 390130831. The reversal of 390130830 is 38031093.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 390130794 and 390130803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390130831) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800847 + ... + 801333.

Almost surely, 2390130830 is an apocalyptic number.

390130830 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 390130830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561192192).

390130830 is an abundant number, since it is smaller than the sum of its proper divisors (732253554).

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

390130830 is a wasteful number, since it uses less digits than its factorization.

390130830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 390130830 is about 19751.7297976658. The cubic root of 390130830 is about 730.6960459446.

The spelling of 390130830 in words is "three hundred ninety million, one hundred thirty thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 43 45 46 54 69 81 86 90 115 129 135 138 162 207 215 230 258 270 345 387 405 414 430 487 621 645 690 774 810 974 989 1035 1161 1242 1290 1461 1863 1935 1978 2070 2322 2435 2922 2967 3105 3483 3726 3870 4383 4870 4945 5805 5934 6210 6966 7305 8766 8901 9315 9890 11201 11610 13149 14610 14835 17415 17802 18630 20941 21915 22402 26298 26703 29670 33603 34830 39447 41882 43830 44505 53406 56005 62823 65745 67206 78894 80109 89010 100809 104705 112010 125646 131490 133515 160218 168015 188469 197235 201618 209410 267030 302427 314115 336030 376938 394470 400545 481643 504045 565407 604854 628230 801090 907281 942345 963286 1008090 1130814 1444929 1512135 1696221 1814562 1884690 2408215 2827035 2889858 3024270 3392442 4334787 4536405 4816430 5654070 7224645 8481105 8669574 9072810 13004361 14449290 16962210 21673935 26008722 39013083 43347870 65021805 78026166 130043610 195065415 390130830