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2138300670 = 2351137732399
BaseRepresentation
bin111111101110011…
…1110000011111110
312112000120221002010
41333130332003332
513334401110140
6552103112050
7103663153512
oct17734760376
95460527063
102138300670
119a8018a40
124b8142626
1328100b08c
14163dba142
15c7ad0880
hex7f73e0fe

2138300670 has 128 divisors (see below), whose sum is σ = 5830963200. Its totient is φ = 497249280.

The previous prime is 2138300653. The next prime is 2138300683. The reversal of 2138300670 is 760038312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 890131 + ... + 892529.

It is an arithmetic number, because the mean of its divisors is an integer number (45554400).

Almost surely, 22138300670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138300670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2915481600).

2138300670 is an abundant number, since it is smaller than the sum of its proper divisors (3692662530).

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

2138300670 is a wasteful number, since it uses less digits than its factorization.

2138300670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530.

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 2138300670 is about 46241.7632665538. The cubic root of 2138300670 is about 1288.3175530784.

Adding to 2138300670 its reverse (760038312), we get a palindrome (2898338982).

The spelling of 2138300670 in words is "two billion, one hundred thirty-eight million, three hundred thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 73 74 110 111 146 165 185 219 222 330 365 370 407 438 555 730 803 814 1095 1110 1221 1606 2035 2190 2399 2409 2442 2701 4015 4070 4798 4818 5402 6105 7197 8030 8103 11995 12045 12210 13505 14394 16206 23990 24090 26389 27010 29711 35985 40515 52778 59422 71970 79167 81030 88763 89133 131945 148555 158334 175127 177526 178266 263890 266289 297110 350254 395835 443815 445665 525381 532578 791670 875635 887630 891330 976393 1050762 1331445 1751270 1926397 1952786 2626905 2662890 2929179 3852794 4881965 5253810 5779191 5858358 6479699 9631985 9763930 11558382 12959398 14645895 19263970 19439097 28895955 29291790 32398495 38878194 57791910 64796990 71276689 97195485 142553378 194390970 213830067 356383445 427660134 712766890 1069150335 2138300670