Search a number
-
+
1374696960 = 29357213281
BaseRepresentation
bin101000111110000…
…0011011000000000
310112210201211201020
41101330003120000
510303410300320
6344224305440
746031505600
oct12174033000
93483654636
101374696960
11645a8719a
12324472280
1318ba5c670
14d0806c00
1580a47940
hex51f03600

1374696960 has 480 divisors, whose sum is σ = 5525083872. Its totient is φ = 289013760.

The previous prime is 1374696943. The next prime is 1374696977. The reversal of 1374696960 is 696964731.

It is an interprime number because it is at equal distance from previous prime (1374696943) and next prime (1374696977).

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4892020 + ... + 4892300.

Almost surely, 21374696960 is an apocalyptic number.

1374696960 is a gapful number since it is divisible by the number (10) 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 1374696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762541936).

1374696960 is an abundant number, since it is smaller than the sum of its proper divisors (4150386912).

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

1374696960 is a wasteful number, since it uses less digits than its factorization.

1374696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The square root of 1374696960 is about 37076.9060197854. The cubic root of 1374696960 is about 1111.9083477763.

The spelling of 1374696960 in words is "one billion, three hundred seventy-four million, six hundred ninety-six thousand, nine hundred sixty".