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2087240616 = 2333231034079
BaseRepresentation
bin111110001101000…
…1100001110101000
312101110111210212000
41330122030032220
513233313144431
6543040451000
7102503152416
oct17432141650
95343453760
102087240616
1198121384a
124a3019a60
13273571326
1415b2c82b6
15c33969e6
hex7c68c3a8

2087240616 has 128 divisors (see below), whose sum is σ = 6110208000. Its totient is φ = 658874304.

The previous prime is 2087240609. The next prime is 2087240641. The reversal of 2087240616 is 6160427802.

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

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, 509665 + ... + 513743.

It is an arithmetic number, because the mean of its divisors is an integer number (47736000).

Almost surely, 22087240616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2087240616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055104000).

2087240616 is an abundant number, since it is smaller than the sum of its proper divisors (4022967384).

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

2087240616 is a wasteful number, since it uses less digits than its factorization.

2087240616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4220 (or 4210 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2087240616 is about 45686.3285458571. The cubic root of 2087240616 is about 1277.9803386955.

The spelling of 2087240616 in words is "two billion, eighty-seven million, two hundred forty thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 103 108 138 184 206 207 216 276 309 412 414 552 618 621 824 828 927 1236 1242 1656 1854 2369 2472 2484 2781 3708 4079 4738 4968 5562 7107 7416 8158 9476 11124 12237 14214 16316 18952 21321 22248 24474 28428 32632 36711 42642 48948 56856 63963 73422 85284 93817 97896 110133 127926 146844 170568 187634 220266 255852 281451 293688 375268 420137 440532 511704 562902 750536 840274 844353 881064 1125804 1260411 1680548 1688706 2251608 2520822 2533059 3361096 3377412 3781233 5041644 5066118 6754824 7562466 9663151 10083288 10132236 11343699 15124932 19326302 20264472 22687398 28989453 30249864 38652604 45374796 57978906 77305208 86968359 90749592 115957812 173936718 231915624 260905077 347873436 521810154 695746872 1043620308 2087240616