Search a number
-
+
1053469032 = 2337211313771
BaseRepresentation
bin111110110010101…
…010100101101000
32201102021202211120
4332302222211220
54124142002112
6252311255240
735051224200
oct7662524550
92642252746
101053469032
114a0723970
1225497a520
1313a33b575
149dca9400
1562743e8c
hex3ecaa968

1053469032 has 384 divisors, whose sum is σ = 3593134080. Its totient is φ = 254016000.

The previous prime is 1053469009. The next prime is 1053469037. The reversal of 1053469032 is 2309643501.

It is a super-2 number, since 2×10534690322 = 2219594002766034048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1053468984 and 1053469002.

It is not an unprimeable number, because it can be changed into a prime (1053469037) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14837557 + ... + 14837627.

It is an arithmetic number, because the mean of its divisors is an integer number (9357120).

Almost surely, 21053469032 is an apocalyptic number.

1053469032 is a gapful number since it is divisible by the number (12) 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 1053469032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796567040).

1053469032 is an abundant number, since it is smaller than the sum of its proper divisors (2539665048).

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

1053469032 is a wasteful number, since it uses less digits than its factorization.

1053469032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 1053469032 is about 32457.1876785405. The cubic root of 1053469032 is about 1017.5144633489.

The spelling of 1053469032 in words is "one billion, fifty-three million, four hundred sixty-nine thousand, thirty-two".