Search a number
-
+
1074602000 = 24531928279
BaseRepresentation
bin100000000001101…
…0010000000010000
32202220001102211002
41000003102000100
54200044231000
6254344241132
735425652303
oct10003220020
92686042732
101074602000
1150164842a
1225ba701a8
1314182a594
14a2a0ab3a
156451a8d5
hex400d2010

1074602000 has 80 divisors (see below), whose sum is σ = 2735241600. Its totient is φ = 407203200.

The previous prime is 1074601993. The next prime is 1074602017. The reversal of 1074602000 is 2064701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23861 + ... + 52139.

It is an arithmetic number, because the mean of its divisors is an integer number (34190520).

Almost surely, 21074602000 is an apocalyptic number.

1074602000 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 1074602000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367620800).

1074602000 is an abundant number, since it is smaller than the sum of its proper divisors (1660639600).

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

1074602000 is a wasteful number, since it uses less digits than its factorization.

1074602000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28321 (or 28305 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 1074602000 is about 32781.1226165304. The cubic root of 1074602000 is about 1024.2733696003.

Adding to 1074602000 its reverse (2064701), we get a palindrome (1076666701).

The spelling of 1074602000 in words is "one billion, seventy-four million, six hundred two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 152 190 200 250 304 380 400 475 500 760 950 1000 1520 1900 2000 2375 3800 4750 7600 9500 19000 28279 38000 56558 113116 141395 226232 282790 452464 537301 565580 706975 1074602 1131160 1413950 2149204 2262320 2686505 2827900 3534875 4298408 5373010 5655800 7069750 8596816 10746020 11311600 13432525 14139500 21492040 26865050 28279000 42984080 53730100 56558000 67162625 107460200 134325250 214920400 268650500 537301000 1074602000