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2106976950 = 2325213360167
BaseRepresentation
bin111110110010101…
…1110101010110110
312102211122112000100
41331211132222312
513303341230300
6545023454530
7103133002641
oct17545365266
95384575010
102106976950
11991373a71
124a9757446
13277691730
1415db84a58
15c4e94700
hex7d95eab6

2106976950 has 72 divisors (see below), whose sum is σ = 6096203568. Its totient is φ = 518639040.

The previous prime is 2106976943. The next prime is 2106976973. The reversal of 2106976950 is 596796012.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 2106976896 and 2106976905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174234 + ... + 185933.

It is an arithmetic number, because the mean of its divisors is an integer number (84669494).

Almost surely, 22106976950 is an apocalyptic number.

2106976950 is an abundant number, since it is smaller than the sum of its proper divisors (3989226618).

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

2106976950 is a wasteful number, since it uses less digits than its factorization.

2106976950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360198 (or 360190 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 2106976950 is about 45901.8185914240. The cubic root of 2106976950 is about 1281.9957777579.

The spelling of 2106976950 in words is "two billion, one hundred six million, nine hundred seventy-six thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 150 195 225 234 325 390 450 585 650 975 1170 1950 2925 5850 360167 720334 1080501 1800835 2161002 3241503 3601670 4682171 5402505 6483006 9004175 9364342 10805010 14046513 16207515 18008350 23410855 27012525 28093026 32415030 42139539 46821710 54025050 70232565 81037575 84279078 117054275 140465130 162075150 210697695 234108550 351162825 421395390 702325650 1053488475 2106976950