Search a number
-
+
1012412604 = 22372112392
BaseRepresentation
bin111100010110000…
…011000010111100
32121120000220000010
4330112003002330
54033134200404
6244243303220
734042236150
oct7426030274
92546026003
101012412604
1147a531635
1224307ab10
13131994c18
149865d060
155dd34189
hex3c5830bc

1012412604 has 72 divisors (see below), whose sum is σ = 2723959168. Its totient is φ = 286685280.

The previous prime is 1012412579. The next prime is 1012412629. The reversal of 1012412604 is 4062142101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1012412579) and next prime (1012412629).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4235917 + ... + 4236155.

Almost surely, 21012412604 is an apocalyptic number.

1012412604 is a gapful number since it is divisible by the number (14) 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 1012412604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361979584).

1012412604 is an abundant number, since it is smaller than the sum of its proper divisors (1711546564).

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

1012412604 is a wasteful number, since it uses less digits than its factorization.

1012412604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1012412604 is about 31818.4318281087. The cubic root of 1012412604 is about 1004.1205325576.

Adding to 1012412604 its reverse (4062142101), we get a palindrome (5074554705).

The spelling of 1012412604 in words is "one billion, twelve million, four hundred twelve thousand, six hundred four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 211 239 422 478 633 717 844 956 1266 1434 1477 1673 2532 2868 2954 3346 4431 5019 5908 6692 8862 10038 17724 20076 50429 57121 100858 114242 151287 171363 201716 228484 302574 342726 353003 399847 605148 685452 706006 799694 1059009 1199541 1412012 1599388 2118018 2399082 4236036 4798164 12052531 24105062 36157593 48210124 72315186 84367717 144630372 168735434 253103151 337470868 506206302 1012412604