Search a number
-
+
1249021900 = 225272323373
BaseRepresentation
bin100101001110010…
…1000111111001100
310020001020212221101
41022130220333030
510024222200100
6323534512444
742644340160
oct11234507714
93201225841
101249021900
11591049705
122aa365724
1316b9c9619
14bbc50ca0
15749c086a
hex4a728fcc

1249021900 has 108 divisors (see below), whose sum is σ = 3239066992. Its totient is φ = 409495680.

The previous prime is 1249021889. The next prime is 1249021919. The reversal of 1249021900 is 91209421.

It is a happy number.

It is a super-2 number, since 2×12490219002 = 3120111413359220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 368614 + ... + 371986.

Almost surely, 21249021900 is an apocalyptic number.

1249021900 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 1249021900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619533496).

1249021900 is an abundant number, since it is smaller than the sum of its proper divisors (1990045092).

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

1249021900 is a wasteful number, since it uses less digits than its factorization.

1249021900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3440 (or 3410 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 1249021900 is about 35341.5039295161. The cubic root of 1249021900 is about 1076.9363046910.

The spelling of 1249021900 in words is "one billion, two hundred forty-nine million, twenty-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 529 575 644 700 805 1058 1150 1610 2116 2300 2645 3220 3373 3703 4025 5290 6746 7406 8050 10580 13225 13492 14812 16100 16865 18515 23611 26450 33730 37030 47222 52900 67460 74060 77579 84325 92575 94444 118055 155158 168650 185150 236110 310316 337300 370300 387895 472220 543053 590275 775790 1086106 1180550 1551580 1784317 1939475 2172212 2361100 2715265 3568634 3878950 5430530 7137268 7757900 8921585 10861060 12490219 13576325 17843170 24980438 27152650 35686340 44607925 49960876 54305300 62451095 89215850 124902190 178431700 249804380 312255475 624510950 1249021900