Search a number
-
+
1960695030 = 235723419901
BaseRepresentation
bin111010011011101…
…1101010011110110
312001122101121221110
41310313131103312
513003414220110
6522320255450
766405430020
oct16467352366
95048347843
101960695030
11916841218
12468771586
13253294c98
14148587010
15b71eba20
hex74ddd4f6

1960695030 has 128 divisors (see below), whose sum is σ = 5749180416. Its totient is φ = 418176000.

The previous prime is 1960695013. The next prime is 1960695031. The reversal of 1960695030 is 305960691.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1960695030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1960695031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193080 + ... + 202980.

It is an arithmetic number, because the mean of its divisors is an integer number (44915472).

Almost surely, 21960695030 is an apocalyptic number.

1960695030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960695030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874590208).

1960695030 is an abundant number, since it is smaller than the sum of its proper divisors (3788485386).

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

1960695030 is a wasteful number, since it uses less digits than its factorization.

1960695030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982.

The product of its (nonzero) digits is 43740, while the sum is 39.

The square root of 1960695030 is about 44279.7361103248. The cubic root of 1960695030 is about 1251.6128577901.

The spelling of 1960695030 in words is "one billion, nine hundred sixty million, six hundred ninety-five thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 41 42 46 69 70 82 105 115 123 138 161 205 210 230 246 287 322 345 410 483 574 615 690 805 861 943 966 1230 1435 1610 1722 1886 2415 2829 2870 4305 4715 4830 5658 6601 8610 9430 9901 13202 14145 19802 19803 28290 29703 33005 39606 49505 59406 66010 69307 99010 99015 138614 148515 198030 207921 227723 297030 346535 405941 415842 455446 683169 693070 811882 1039605 1138615 1217823 1366338 1594061 2029705 2079210 2277230 2435646 2841587 3188122 3415845 4059410 4782183 5683174 6089115 6831690 7970305 8524761 9336643 9564366 12178230 14207935 15940610 17049522 18673286 23910915 28009929 28415870 42623805 46683215 47821830 56019858 65356501 85247610 93366430 130713002 140049645 196069503 280099290 326782505 392139006 653565010 980347515 1960695030