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15414420 = 223574107
BaseRepresentation
bin111010110011…
…010010010100
31002000010121110
4322303102110
512421230140
61310215020
7245010000
oct72632224
932003543
1015414420
11877909a
1251b4470
133269178
142093700
151547380
hexeb3494

15414420 has 120 divisors (see below), whose sum is σ = 50821344. Its totient is φ = 3490368.

The previous prime is 15414419. The next prime is 15414433. The reversal of 15414420 is 2441451.

It is a happy number.

15414420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 144007 + ... + 144113.

Almost surely, 215414420 is an apocalyptic number.

15414420 is a gapful number since it is divisible by the number (10) 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 15414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25410672).

15414420 is an abundant number, since it is smaller than the sum of its proper divisors (35406924).

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

15414420 is a wasteful number, since it uses less digits than its factorization.

15414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 15414420 is about 3926.1202223060. The cubic root of 15414420 is about 248.8718231933.

Adding to 15414420 its reverse (2441451), we get a palindrome (17855871).

The spelling of 15414420 in words is "fifteen million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 107 140 147 196 210 214 245 294 321 343 420 428 490 535 588 642 686 735 749 980 1029 1070 1284 1372 1470 1498 1605 1715 2058 2140 2247 2401 2940 2996 3210 3430 3745 4116 4494 4802 5145 5243 6420 6860 7203 7490 8988 9604 10290 10486 11235 12005 14406 14980 15729 20580 20972 22470 24010 26215 28812 31458 36015 36701 44940 48020 52430 62916 72030 73402 78645 104860 110103 144060 146804 157290 183505 220206 256907 314580 367010 440412 513814 550515 734020 770721 1027628 1101030 1284535 1541442 2202060 2569070 3082884 3853605 5138140 7707210 15414420