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23019480 = 23325115813
BaseRepresentation
bin101011111001…
…1111111011000
31121022111210100
41113303333120
521343110410
62141215400
7366443121
oct127637730
947274710
1023019480
1111aa2970
127861560
1349cc8c3
1430b3048
15204a8c0
hex15f3fd8

23019480 has 96 divisors (see below), whose sum is σ = 81628560. Its totient is φ = 5579520.

The previous prime is 23019473. The next prime is 23019487. The reversal of 23019480 is 8491032.

It is an interprime number because it is at equal distance from previous prime (23019473) and next prime (23019487).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23019487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054 + ... + 6866.

Almost surely, 223019480 is an apocalyptic number.

23019480 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 23019480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40814280).

23019480 is an abundant number, since it is smaller than the sum of its proper divisors (58609080).

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

23019480 is a wasteful number, since it uses less digits than its factorization.

23019480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5841 (or 5834 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 23019480 is about 4797.8620238602. The cubic root of 23019480 is about 284.4669630519.

It can be divided in two parts, 2301 and 9480, that added together give a triangular number (11781 = T153).

The spelling of 23019480 in words is "twenty-three million, nineteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 5813 11626 17439 23252 29065 34878 46504 52317 58130 63943 69756 87195 104634 116260 127886 139512 174390 191829 209268 232520 255772 261585 319715 348780 383658 418536 511544 523170 575487 639430 697560 767316 959145 1046340 1150974 1278860 1534632 1918290 2092680 2301948 2557720 2877435 3836580 4603896 5754870 7673160 11509740 23019480