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1390268700 = 2232522953267
BaseRepresentation
bin101001011011101…
…1101000100011100
310120220000222010100
41102313131010130
510321402044300
6345542141100
746311042342
oct12267350434
93526028110
101390268700
116538524a7
12329721790
13192052302
14d28db992
15820c1700
hex52ddd11c

1390268700 has 108 divisors (see below), whose sum is σ = 4508070840. Its totient is φ = 357947520.

The previous prime is 1390268683. The next prime is 1390268701. The reversal of 1390268700 is 78620931.

1390268700 is a `hidden beast` number, since 1 + 390 + 268 + 7 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390268701) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534 + ... + 52733.

Almost surely, 21390268700 is an apocalyptic number.

1390268700 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 1390268700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254035420).

1390268700 is an abundant number, since it is smaller than the sum of its proper divisors (3117802140).

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

1390268700 is a wasteful number, since it uses less digits than its factorization.

1390268700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53316 (or 53306 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1390268700 is about 37286.3071381439. The cubic root of 1390268700 is about 1116.0909375930.

The spelling of 1390268700 in words is "one billion, three hundred ninety million, two hundred sixty-eight thousand, seven hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 29 30 36 45 50 58 60 75 87 90 100 116 145 150 174 180 225 261 290 300 348 435 450 522 580 725 870 900 1044 1305 1450 1740 2175 2610 2900 4350 5220 6525 8700 13050 26100 53267 106534 159801 213068 266335 319602 479403 532670 639204 799005 958806 1065340 1331675 1544743 1598010 1917612 2397015 2663350 3089486 3196020 3995025 4634229 4794030 5326700 6178972 7723715 7990050 9268458 9588060 11985075 13902687 15447430 15980100 18536916 23171145 23970150 27805374 30894860 38618575 46342290 47940300 55610748 69513435 77237150 92684580 115855725 139026870 154474300 231711450 278053740 347567175 463422900 695134350 1390268700