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2961960148 = 2272311533989
BaseRepresentation
bin1011000010001011…
…1110110011010100
321122102110011110201
42300202332303110
522031230211043
61205525030244
7133254150220
oct26042766324
97572404421
102961960148
11128aa49554
126a7b55384
13382855c54
14201543780
1512507cc4d
hexb08becd4

2961960148 has 48 divisors (see below), whose sum is σ = 6188394240. Its totient is φ = 1212862464.

The previous prime is 2961960143. The next prime is 2961960151. The reversal of 2961960148 is 8410691692.

It is a happy number.

2961960148 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 2961960098 and 2961960107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2961960143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 740538 + ... + 744526.

It is an arithmetic number, because the mean of its divisors is an integer number (128924880).

Almost surely, 22961960148 is an apocalyptic number.

2961960148 is a gapful number since it is divisible by the number (28) 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 2961960148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3094197120).

2961960148 is an abundant number, since it is smaller than the sum of its proper divisors (3226434092).

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

2961960148 is a wasteful number, since it uses less digits than its factorization.

2961960148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5176 (or 5174 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 46.

The square root of 2961960148 is about 54423.8931720251. The cubic root of 2961960148 is about 1436.1277376198.

The spelling of 2961960148 in words is "two billion, nine hundred sixty-one million, nine hundred sixty thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 644 1153 2306 3989 4612 7978 8071 15956 16142 26519 27923 32284 53038 55846 91747 106076 111692 183494 185633 366988 371266 642229 742532 1284458 2568916 4599317 9198634 18397268 32195219 64390438 105784291 128780876 211568582 423137164 740490037 1480980074 2961960148