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23151420 = 2234531461
BaseRepresentation
bin101100001010…
…0001100111100
31121120012210000
41120110030330
521411321140
62144114300
7400532565
oct130241474
947505700
1023151420
1112083006
127905990
134a47986
14310916c
152074a30
hex161433c

23151420 has 120 divisors (see below), whose sum is σ = 75132288. Its totient is φ = 5961600.

The previous prime is 23151419. The next prime is 23151421. The reversal of 23151420 is 2415132.

It is an interprime number because it is at equal distance from previous prime (23151419) and next prime (23151421).

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 = 23151393 and 23151402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23151421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49990 + ... + 50450.

Almost surely, 223151420 is an apocalyptic number.

23151420 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 23151420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37566144).

23151420 is an abundant number, since it is smaller than the sum of its proper divisors (51980868).

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

23151420 is a wasteful number, since it uses less digits than its factorization.

23151420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 23151420 is about 4811.5922520513. The cubic root of 23151420 is about 285.0094179713.

Adding to 23151420 its reverse (2415132), we get a palindrome (25566552).

The spelling of 23151420 in words is "twenty-three million, one hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 270 279 310 324 372 405 461 465 540 558 620 810 837 922 930 1116 1383 1395 1620 1674 1844 1860 2305 2511 2766 2790 3348 4149 4185 4610 5022 5532 5580 6915 8298 8370 9220 10044 12447 12555 13830 14291 16596 16740 20745 24894 25110 27660 28582 37341 41490 42873 49788 50220 57164 62235 71455 74682 82980 85746 124470 128619 142910 149364 171492 186705 214365 248940 257238 285820 373410 385857 428730 514476 643095 746820 771714 857460 1157571 1286190 1543428 1929285 2315142 2572380 3858570 4630284 5787855 7717140 11575710 23151420