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23070420 = 2235547101
BaseRepresentation
bin101100000000…
…0011011010100
31121102002200000
41120000123110
521401223140
62142251300
7400044462
oct130003324
947362600
1023070420
111202816a
127886b30
134a19b49
1430c7832
15205aa30
hex16006d4

23070420 has 144 divisors (see below), whose sum is σ = 74850048. Its totient is φ = 5961600.

The previous prime is 23070407. The next prime is 23070433. The reversal of 23070420 is 2407032.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23070407) and next prime (23070433).

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

It is a junction number, because it is equal to n+sod(n) for n = 23070393 and 23070402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228370 + ... + 228470.

It is an arithmetic number, because the mean of its divisors is an integer number (519792).

Almost surely, 223070420 is an apocalyptic number.

23070420 is a gapful number since it is divisible by the number (20) 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 23070420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37425024).

23070420 is an abundant number, since it is smaller than the sum of its proper divisors (51779628).

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

23070420 is a wasteful number, since it uses less digits than its factorization.

23070420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 23070420 is about 4803.1677047549. The cubic root of 23070420 is about 284.6766415694.

Adding to 23070420 its reverse (2407032), we get a palindrome (25477452).

The spelling of 23070420 in words is "twenty-three million, seventy thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 81 90 94 101 108 135 141 162 180 188 202 235 243 270 282 303 324 404 405 423 470 486 505 540 564 606 705 810 846 909 940 972 1010 1212 1215 1269 1410 1515 1620 1692 1818 2020 2115 2430 2538 2727 2820 3030 3636 3807 4230 4545 4747 4860 5076 5454 6060 6345 7614 8181 8460 9090 9494 10908 11421 12690 13635 14241 15228 16362 18180 18988 19035 22842 23735 24543 25380 27270 28482 32724 38070 40905 42723 45684 47470 49086 54540 56964 57105 71205 76140 81810 85446 94940 98172 114210 122715 128169 142410 163620 170892 213615 228420 245430 256338 284820 384507 427230 490860 512676 640845 769014 854460 1153521 1281690 1538028 1922535 2307042 2563380 3845070 4614084 5767605 7690140 11535210 23070420