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16400790 = 2325723719
BaseRepresentation
bin111110100100…
…000110010110
31010212020122200
4332210012112
513144311130
61343305330
7256255500
oct76440626
933766580
1016400790
11929217a
1255ab246
133523113
14226cd70
15168e760
hexfa4196

16400790 has 72 divisors (see below), whose sum is σ = 49617360. Its totient is φ = 3747744.

The previous prime is 16400789. The next prime is 16400809. The reversal of 16400790 is 9700461.

16400790 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2551 + ... + 6269.

It is an arithmetic number, because the mean of its divisors is an integer number (689130).

Almost surely, 216400790 is an apocalyptic number.

16400790 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16400790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24808680).

16400790 is an abundant number, since it is smaller than the sum of its proper divisors (33216570).

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

16400790 is a wasteful number, since it uses less digits than its factorization.

16400790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3746 (or 3736 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 16400790 is about 4049.7888833864. The cubic root of 16400790 is about 254.0708980172.

The spelling of 16400790 in words is "sixteen million, four hundred thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 3719 4410 7438 11157 18595 22314 26033 33471 37190 52066 55785 66942 78099 111570 130165 156198 167355 182231 234297 260330 334710 364462 390495 468594 546693 780990 911155 1093386 1171485 1640079 1822310 2342970 2733465 3280158 5466930 8200395 16400790