Search a number
-
+
2135015415 = 3451331103127
BaseRepresentation
bin111111101000001…
…1011111111110111
312111210102000120000
41333100123333313
513333030443130
6551504442343
7103623221511
oct17720337767
95453360500
102135015415
119a6184755
124b70193b3
1328042a940
141637a2bb1
15c7682260
hex7f41bff7

2135015415 has 160 divisors (see below), whose sum is σ = 4329701376. Its totient is φ = 999371520.

The previous prime is 2135015387. The next prime is 2135015423. The reversal of 2135015415 is 5145105312.

It is not a de Polignac number, because 2135015415 - 210 = 2135014391 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 16811082 + ... + 16811208.

Almost surely, 22135015415 is an apocalyptic number.

2135015415 is an abundant number, since it is smaller than the sum of its proper divisors (2194685961).

2135015415 is a wasteful number, since it uses less digits than its factorization.

2135015415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 2135015415 is about 46206.2270154143. The cubic root of 2135015415 is about 1287.6574305874.

The spelling of 2135015415 in words is "two billion, one hundred thirty-five million, fifteen thousand, four hundred fifteen".

Divisors: 1 3 5 9 13 15 27 31 39 45 65 81 93 103 117 127 135 155 195 279 309 351 381 403 405 465 515 585 635 837 927 1053 1143 1209 1339 1395 1545 1651 1755 1905 2015 2511 2781 3193 3429 3627 3937 4017 4185 4635 4953 5265 5715 6045 6695 8255 8343 9579 10287 10881 11811 12051 12555 13081 13905 14859 15965 17145 18135 19685 20085 24765 28737 32643 35433 36153 39243 41509 41715 44577 47895 51181 51435 54405 59055 60255 65405 74295 86211 106299 108459 117729 124527 133731 143685 153543 163215 170053 177165 180765 196215 207545 222885 255905 258633 318897 353187 373581 405511 431055 460629 510159 531495 542295 588645 622635 668655 767715 850265 1059561 1120743 1216533 1293165 1381887 1530477 1594485 1765935 1867905 2027555 2303145 2550795 3362229 3649599 4145661 4591431 5271643 5297805 5603715 6082665 6909435 7652385 10948797 13774293 15814929 16811145 18247995 20728305 22957155 26358215 32846391 47444787 54743985 68871465 79074645 142334361 164231955 237223935 427003083 711671805 2135015415