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2151561240 = 2332524124799
BaseRepresentation
bin1000000000111110…
…0011100000011000
312112221112122011100
42000033203200120
513401244424430
6553255231400
7104213653203
oct20017434030
95487478140
102151561240
11a04555894
12500678560
132839a1a7a
14165a6c93a
15c8d4e960
hex803e3818

2151561240 has 96 divisors (see below), whose sum is σ = 7021872000. Its totient is φ = 571345920.

The previous prime is 2151561233. The next prime is 2151561241. The reversal of 2151561240 is 421651512.

2151561240 is a `hidden beast` number, since 2 + 1 + 5 + 1 + 5 + 612 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151561241) 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 23 ways as a sum of consecutive naturals, for example, 74361 + ... + 99159.

It is an arithmetic number, because the mean of its divisors is an integer number (73144500).

Almost surely, 22151561240 is an apocalyptic number.

2151561240 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 2151561240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3510936000).

2151561240 is an abundant number, since it is smaller than the sum of its proper divisors (4870310760).

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

2151561240 is a wasteful number, since it uses less digits than its factorization.

2151561240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25057 (or 25050 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2151561240 is about 46384.9247062017. The cubic root of 2151561240 is about 1290.9752135373.

It can be divided in two parts, 2151 and 561240, that added together give a triangular number (563391 = T1061).

The spelling of 2151561240 in words is "two billion, one hundred fifty-one million, five hundred sixty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 241 360 482 723 964 1205 1446 1928 2169 2410 2892 3615 4338 4820 5784 7230 8676 9640 10845 14460 17352 21690 24799 28920 43380 49598 74397 86760 99196 123995 148794 198392 223191 247990 297588 371985 446382 495980 595176 743970 892764 991960 1115955 1487940 1785528 2231910 2975880 4463820 5976559 8927640 11953118 17929677 23906236 29882795 35859354 47812472 53789031 59765590 71718708 89648385 107578062 119531180 143437416 179296770 215156124 239062360 268945155 358593540 430312248 537890310 717187080 1075780620 2151561240