Search a number
-
+
2137979850 = 235241261139
BaseRepresentation
bin111111101101110…
…1111101111001010
312111222222121222220
41333123233233022
513334310323400
6552052154510
7103660346256
oct17733575712
95458877886
102137979850
119a79199a6
124b8008a36
13280c28046
14163d35266
15c7a6a7a0
hex7f6efbca

2137979850 has 144 divisors (see below), whose sum is σ = 5563498080. Its totient is φ = 543168000.

The previous prime is 2137979839. The next prime is 2137979897. The reversal of 2137979850 is 589797312.

It is a junction number, because it is equal to n+sod(n) for n = 2137979793 and 2137979802.

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 71 ways as a sum of consecutive naturals, for example, 15381081 + ... + 15381219.

Almost surely, 22137979850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2137979850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781749040).

2137979850 is an abundant number, since it is smaller than the sum of its proper divisors (3425518230).

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

2137979850 is a wasteful number, since it uses less digits than its factorization.

2137979850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 51.

The square root of 2137979850 is about 46238.2941943147. The cubic root of 2137979850 is about 1288.2531189360.

The spelling of 2137979850 in words is "two billion, one hundred thirty-seven million, nine hundred seventy-nine thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 61 75 82 122 123 139 150 183 205 246 278 305 366 410 417 610 615 695 834 915 1025 1230 1390 1525 1681 1830 2050 2085 2501 3050 3075 3362 3475 4170 4575 5002 5043 5699 6150 6950 7503 8405 8479 9150 10086 10425 11398 12505 15006 16810 16958 17097 20850 25010 25215 25437 28495 34194 37515 42025 42395 50430 50874 56990 62525 75030 84050 84790 85485 102541 125050 126075 127185 142475 170970 187575 205082 211975 233659 252150 254370 284950 307623 347639 375150 423950 427425 467318 512705 615246 635925 695278 700977 854850 1025410 1042917 1168295 1271850 1401954 1538115 1738195 2085834 2336590 2563525 3076230 3476390 3504885 5127050 5214585 5841475 7009770 7690575 8690975 10429170 11682950 14253199 15381150 17381950 17524425 26072925 28506398 35048850 42759597 52145850 71265995 85519194 142531990 213797985 356329975 427595970 712659950 1068989925 2137979850