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406280916 = 223231734987
BaseRepresentation
bin11000001101110…
…101101011010100
31001022111012122100
4120031311223110
51313001442131
6104152002100
713032221316
oct3015655324
91038435570
10406280916
11199375958
12b4090330
1366230412
143bd5b7b6
1525a047e6
hex18375ad4

406280916 has 72 divisors (see below), whose sum is σ = 1074854144. Its totient is φ = 129237120.

The previous prime is 406280893. The next prime is 406280921. The reversal of 406280916 is 619082604.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78975 + ... + 83961.

Almost surely, 2406280916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406280916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537427072).

406280916 is an abundant number, since it is smaller than the sum of its proper divisors (668573228).

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

406280916 is a wasteful number, since it uses less digits than its factorization.

406280916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5101 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 406280916 is about 20156.4112877268. The cubic root of 406280916 is about 740.6428040157.

The spelling of 406280916 in words is "four hundred six million, two hundred eighty thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 73 93 124 146 186 219 279 292 372 438 558 657 876 1116 1314 2263 2628 4526 4987 6789 9052 9974 13578 14961 19948 20367 27156 29922 40734 44883 59844 81468 89766 154597 179532 309194 364051 463791 618388 728102 927582 1092153 1391373 1456204 1855164 2184306 2782746 3276459 4368612 5565492 6552918 11285581 13105836 22571162 33856743 45142324 67713486 101570229 135426972 203140458 406280916