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1354680020 = 2251718122013
BaseRepresentation
bin101000010111110…
…1100011011010100
310111102001212122002
41100233230123110
510233244230040
6342231254432
745366406301
oct12057543324
93442055562
101354680020
11635755171
1231981a418
13187871615
14cbcb60a8
157dde1a15
hex50bec6d4

1354680020 has 48 divisors (see below), whose sum is σ = 3028950288. Its totient is φ = 507156480.

The previous prime is 1354680017. The next prime is 1354680029. The reversal of 1354680020 is 200864531.

It can be written as a sum of positive squares in 8 ways, for example, as 36409156 + 1318270864 = 6034^2 + 36308^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354680029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50534 + ... + 72546.

It is an arithmetic number, because the mean of its divisors is an integer number (63103131).

Almost surely, 21354680020 is an apocalyptic number.

1354680020 is a gapful number since it is divisible by the number (10) 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 1354680020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1514475144).

1354680020 is an abundant number, since it is smaller than the sum of its proper divisors (1674270268).

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

1354680020 is a wasteful number, since it uses less digits than its factorization.

1354680020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22220 (or 22218 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 1354680020 is about 36805.9780470510. The cubic root of 1354680020 is about 1106.4851129969.

The spelling of 1354680020 in words is "one billion, three hundred fifty-four million, six hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 181 340 362 724 905 1810 3077 3620 6154 12308 15385 22013 30770 44026 61540 88052 110065 220130 374221 440260 748442 1496884 1871105 3742210 3984353 7484420 7968706 15937412 19921765 39843530 67734001 79687060 135468002 270936004 338670005 677340010 1354680020