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16133940 = 2232589633
BaseRepresentation
bin111101100010…
…111100110100
31010100200121100
4331202330310
513112241230
61333450100
7254064504
oct75427464
933320540
1016133940
11911a739
1254a0930
13345b814
1421dda04
15163a660
hexf62f34

16133940 has 36 divisors (see below), whose sum is σ = 48940164. Its totient is φ = 4302336.

The previous prime is 16133939. The next prime is 16133959. The reversal of 16133940 is 4933161.

16133940 is a `hidden beast` number, since 1 + 613 + 3 + 9 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2782224 + 13351716 = 1668^2 + 3654^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44637 + ... + 44996.

It is an arithmetic number, because the mean of its divisors is an integer number (1359449).

Almost surely, 216133940 is an apocalyptic number.

16133940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16133940 is an abundant number, since it is smaller than the sum of its proper divisors (32806224).

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

16133940 is a wasteful number, since it uses less digits than its factorization.

16133940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89648 (or 89643 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 16133940 is about 4016.7076069836. The cubic root of 16133940 is about 252.6853979364.

It can be divided in two parts, 16 and 133940, that added together give a square (133956 = 3662).

The spelling of 16133940 in words is "sixteen million, one hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 89633 179266 268899 358532 448165 537798 806697 896330 1075596 1344495 1613394 1792660 2688990 3226788 4033485 5377980 8066970 16133940