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283013120 = 2125131063
BaseRepresentation
bin10000110111100…
…111000000000000
3201201112120000102
4100313213000000
51034422404440
644025541532
710004400065
oct2067470000
9651476012
10283013120
11135831a45
127a9448a8
1346830cb0
1429830c6c
1519ca5b15
hex10de7000

283013120 has 104 divisors (see below), whose sum is σ = 732078816. Its totient is φ = 104398848.

The previous prime is 283013069. The next prime is 283013177. The reversal of 283013120 is 21310382.

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 283013092 and 283013101.

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, 265709 + ... + 266771.

Almost surely, 2283013120 is an apocalyptic number.

283013120 is a gapful number since it is divisible by the number (20) 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 283013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366039408).

283013120 is an abundant number, since it is smaller than the sum of its proper divisors (449065696).

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

283013120 is a wasteful number, since it uses less digits than its factorization.

283013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 283013120 is about 16822.9937882649. The cubic root of 283013120 is about 656.5515884244.

The spelling of 283013120 in words is "two hundred eighty-three million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1063 1280 1664 2048 2080 2126 2560 3328 4096 4160 4252 5120 5315 6656 8320 8504 10240 10630 13312 13819 16640 17008 20480 21260 26624 27638 33280 34016 42520 53248 55276 66560 68032 69095 85040 110552 133120 136064 138190 170080 221104 266240 272128 276380 340160 442208 544256 552760 680320 884416 1088512 1105520 1360640 1768832 2177024 2211040 2721280 3537664 4354048 4422080 5442560 7075328 8844160 10885120 14150656 17688320 21770240 28301312 35376640 56602624 70753280 141506560 283013120