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1606046016 = 26331833251
BaseRepresentation
bin101111110111010…
…0101000101000000
311010221001120221210
41133232211011000
511242121433031
6423211050120
754541110621
oct13756450500
94127046853
101606046016
11754631163
12389a40940
131c79719b3
14113429a48
1595ee5746
hex5fba5140

1606046016 has 112 divisors (see below), whose sum is σ = 4440619008. Its totient is φ = 511680000.

The previous prime is 1606045979. The next prime is 1606046023. The reversal of 1606046016 is 6106406061.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492391 + ... + 495641.

It is an arithmetic number, because the mean of its divisors is an integer number (39648384).

Almost surely, 21606046016 is an apocalyptic number.

1606046016 is a gapful number since it is divisible by the number (16) 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 1606046016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2220309504).

1606046016 is an abundant number, since it is smaller than the sum of its proper divisors (2834572992).

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

1606046016 is a wasteful number, since it uses less digits than its factorization.

1606046016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3380 (or 3370 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1606046016 is about 40075.5039394391. The cubic root of 1606046016 is about 1171.0784650232.

The spelling of 1606046016 in words is "one billion, six hundred six million, forty-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 83 93 96 124 166 186 192 248 249 332 372 496 498 664 744 992 996 1328 1488 1984 1992 2573 2656 2976 3251 3984 5146 5312 5952 6502 7719 7968 9753 10292 13004 15438 15936 19506 20584 26008 30876 39012 41168 52016 61752 78024 82336 100781 104032 123504 156048 164672 201562 208064 247008 269833 302343 312096 403124 494016 539666 604686 624192 806248 809499 1079332 1209372 1612496 1618998 2158664 2418744 3224992 3237996 4317328 4837488 6449984 6475992 8364823 8634656 9674976 12951984 16729646 17269312 19349952 25094469 25903968 33459292 50188938 51807936 66918584 100377876 133837168 200755752 267674336 401511504 535348672 803023008 1606046016