Search a number
-
+
3102696960 = 293511191933
BaseRepresentation
bin1011100011101111…
…0110011000000000
322000020021100002020
42320323312120000
522323242300320
61231513321440
7136613326506
oct27073663000
98006240066
103102696960
111352434170
12727106280
133a5a6077c
142160da676
151325cc940
hexb8ef6600

3102696960 has 320 divisors, whose sum is σ = 11396056320. Its totient is φ = 712212480.

The previous prime is 3102696943. The next prime is 3102696973. The reversal of 3102696960 is 696962013.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1604154 + ... + 1606086.

It is an arithmetic number, because the mean of its divisors is an integer number (35612676).

Almost surely, 23102696960 is an apocalyptic number.

3102696960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3102696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5698028160).

3102696960 is an abundant number, since it is smaller than the sum of its proper divisors (8293359360).

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

3102696960 is a wasteful number, since it uses less digits than its factorization.

3102696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1989 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 3102696960 is about 55701.8577787133. The cubic root of 3102696960 is about 1458.5224559154.

The spelling of 3102696960 in words is "three billion, one hundred two million, six hundred ninety-six thousand, nine hundred sixty".