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16406390 = 25711213149
BaseRepresentation
bin111110100101…
…011101110110
31010212112100002
4332211131312
513200001030
61343351302
7256311020
oct76453566
933775302
1016406390
119296400
1255b2532
133525830
142271010
151691245
hexfa5776

16406390 has 96 divisors (see below), whose sum is σ = 40219200. Its totient is φ = 4688640.

The previous prime is 16406389. The next prime is 16406393. The reversal of 16406390 is 9360461.

16406390 = 5362 + 5372 + ... + 5872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16406393) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 110036 + ... + 110184.

It is an arithmetic number, because the mean of its divisors is an integer number (418950).

Almost surely, 216406390 is an apocalyptic number.

16406390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16406390 is an abundant number, since it is smaller than the sum of its proper divisors (23812810).

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

16406390 is a wasteful number, since it uses less digits than its factorization.

16406390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 16406390 is about 4050.4802184432. The cubic root of 16406390 is about 254.0998119724.

The spelling of 16406390 in words is "sixteen million, four hundred six thousand, three hundred ninety".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 149 154 182 242 286 298 385 455 605 715 745 770 847 910 1001 1043 1210 1430 1490 1573 1639 1694 1937 2002 2086 3146 3278 3874 4235 5005 5215 7865 8195 8470 9685 10010 10430 11011 11473 13559 15730 16390 18029 19370 21307 22022 22946 27118 36058 42614 55055 57365 67795 90145 106535 110110 114730 126203 135590 149149 180290 213070 234377 252406 298298 468754 631015 745745 1171885 1262030 1491490 1640639 2343770 3281278 8203195 16406390