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2150245240 = 23511131672251
BaseRepresentation
bin1000000000101010…
…0010001101111000
312112212001202221121
42000022202031320
513400430321430
6553211115024
7104166532363
oct20012421570
95485052847
102150245240
11a03837090
12500142a74
13283630a80
141658090da
15c8b8ea7a
hex802a2378

2150245240 has 128 divisors (see below), whose sum is σ = 5720440320. Its totient is φ = 717120000.

The previous prime is 2150245177. The next prime is 2150245243. The reversal of 2150245240 is 425420512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2150245243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 954115 + ... + 956365.

It is an arithmetic number, because the mean of its divisors is an integer number (44690940).

Almost surely, 22150245240 is an apocalyptic number.

2150245240 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 2150245240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860220160).

2150245240 is an abundant number, since it is smaller than the sum of its proper divisors (3570195080).

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

2150245240 is a wasteful number, since it uses less digits than its factorization.

2150245240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2453 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 2150245240 is about 46370.7368930018. The cubic root of 2150245240 is about 1290.7119520122.

Adding to 2150245240 its reverse (425420512), we get a palindrome (2575665752).

The spelling of 2150245240 in words is "two billion, one hundred fifty million, two hundred forty-five thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 104 110 130 143 167 220 260 286 334 440 520 572 668 715 835 1144 1336 1430 1670 1837 2171 2251 2860 3340 3674 4342 4502 5720 6680 7348 8684 9004 9185 10855 11255 14696 17368 18008 18370 21710 22510 23881 24761 29263 36740 43420 45020 47762 49522 58526 73480 86840 90040 95524 99044 117052 119405 123805 146315 191048 198088 234104 238810 247610 292630 321893 375917 477620 495220 585260 643786 751834 955240 990440 1170520 1287572 1503668 1609465 1879585 2575144 3007336 3218930 3759170 4135087 4886921 6437860 7518340 8270174 9773842 12875720 15036680 16540348 19547684 20675435 24434605 33080696 39095368 41350870 48869210 53756131 82701740 97738420 107512262 165403480 195476840 215024524 268780655 430049048 537561310 1075122620 2150245240