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14910420 = 22357131271
BaseRepresentation
bin111000111000…
…001111010100
31001001112020210
4320320033110
512304113140
61251325420
7240510420
oct70701724
931045223
1014910420
118464468
124bb0870
133120945
141da1b80
151497d80
hexe383d4

14910420 has 96 divisors (see below), whose sum is σ = 48254976. Its totient is φ = 3369600.

The previous prime is 14910407. The next prime is 14910433. The reversal of 14910420 is 2401941.

14910420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14910407) and next prime (14910433).

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 31 ways as a sum of consecutive naturals, for example, 54885 + ... + 55155.

It is an arithmetic number, because the mean of its divisors is an integer number (502656).

Almost surely, 214910420 is an apocalyptic number.

14910420 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 14910420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24127488).

14910420 is an abundant number, since it is smaller than the sum of its proper divisors (33344556).

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

14910420 is a wasteful number, since it uses less digits than its factorization.

14910420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 14910420 is about 3861.4013000464. The cubic root of 14910420 is about 246.1292862616.

The spelling of 14910420 in words is "fourteen million, nine hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 271 393 420 524 542 655 786 813 917 1084 1310 1355 1572 1626 1834 1897 1965 2620 2710 2751 3252 3668 3794 3930 4065 4585 5420 5502 5691 7588 7860 8130 9170 9485 11004 11382 13755 16260 18340 18970 22764 27510 28455 35501 37940 55020 56910 71002 106503 113820 142004 177505 213006 248507 355010 426012 497014 532515 710020 745521 994028 1065030 1242535 1491042 2130060 2485070 2982084 3727605 4970140 7455210 14910420