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1361616 = 243191493
BaseRepresentation
bin101001100011011010000
32120011210020
411030123100
5322032431
645103440
714400504
oct5143320
92504706
101361616
11850003
12557b80
133889b9
14276304
151bd696
hex14c6d0

1361616 has 40 divisors (see below), whose sum is σ = 3705120. Its totient is φ = 429696.

The previous prime is 1361609. The next prime is 1361629. The reversal of 1361616 is 6161631.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166 + ... + 1658.

It is an arithmetic number, because the mean of its divisors is an integer number (92628).

21361616 is an apocalyptic number.

1361616 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 1361616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852560).

1361616 is an abundant number, since it is smaller than the sum of its proper divisors (2343504).

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

1361616 is a wasteful number, since it uses less digits than its factorization.

1361616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1523 (or 1517 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 1361616 is about 1166.8830275567. The cubic root of 1361616 is about 110.8370305486.

The spelling of 1361616 in words is "one million, three hundred sixty-one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 1493 2986 4479 5972 8958 11944 17916 23888 28367 35832 56734 71664 85101 113468 170202 226936 340404 453872 680808 1361616