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2553412140 = 223356197639
BaseRepresentation
bin1001100000110001…
…1111101000101100
320120221200202222000
42120030133220230
520212133142030
61101212252300
7120163434156
oct23014375054
96527622860
102553412140
1110a0375374
125b3171090
13319010976
141a3195ad6
15ee27b860
hex9831fa2c

2553412140 has 96 divisors (see below), whose sum is σ = 7957824000. Its totient is φ = 679720896.

The previous prime is 2553412139. The next prime is 2553412163. The reversal of 2553412140 is 412143552.

2553412140 is a `hidden beast` number, since 2 + 5 + 534 + 121 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 330441 + ... + 338079.

It is an arithmetic number, because the mean of its divisors is an integer number (82894000).

Almost surely, 22553412140 is an apocalyptic number.

2553412140 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 2553412140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978912000).

2553412140 is an abundant number, since it is smaller than the sum of its proper divisors (5404411860).

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

2553412140 is a wasteful number, since it uses less digits than its factorization.

2553412140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 2553412140 is about 50531.2986177874. The cubic root of 2553412140 is about 1366.8063032683.

Adding to 2553412140 its reverse (412143552), we get a palindrome (2965555692).

It can be divided in two parts, 2553412 and 140, that added together give a palindrome (2553552).

The spelling of 2553412140 in words is "two billion, five hundred fifty-three million, four hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 619 1238 1857 2476 3095 3714 5571 6190 7428 7639 9285 11142 12380 15278 16713 18570 22284 22917 27855 30556 33426 37140 38195 45834 55710 66852 68751 76390 83565 91668 111420 114585 137502 152780 167130 206253 229170 275004 334260 343755 412506 458340 687510 825012 1031265 1375020 2062530 4125060 4728541 9457082 14185623 18914164 23642705 28371246 42556869 47285410 56742492 70928115 85113738 94570820 127670607 141856230 170227476 212784345 255341214 283712460 425568690 510682428 638353035 851137380 1276706070 2553412140