Search a number
-
+
1307994552 = 2332178912007
BaseRepresentation
bin100110111110110…
…0110100110111000
310101011020000012200
41031331212212320
510134321311202
6333442510200
744261525124
oct11575464670
93334200180
101307994552
11611368737
12306065360
1317aca6a97
14c5a02584
1579c6de1c
hex4df669b8

1307994552 has 96 divisors (see below), whose sum is σ = 3793327200. Its totient is φ = 405706752.

The previous prime is 1307994539. The next prime is 1307994553. The reversal of 1307994552 is 2554997031.

It is a happy number.

1307994552 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 9 + 94 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1307994498 and 1307994507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307994553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102933 + ... + 114939.

It is an arithmetic number, because the mean of its divisors is an integer number (39513825).

Almost surely, 21307994552 is an apocalyptic number.

1307994552 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 1307994552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896663600).

1307994552 is an abundant number, since it is smaller than the sum of its proper divisors (2485332648).

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

1307994552 is a wasteful number, since it uses less digits than its factorization.

1307994552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12125 (or 12118 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 1307994552 is about 36166.2073211997. The cubic root of 1307994552 is about 1093.6255426408.

The spelling of 1307994552 in words is "one billion, three hundred seven million, nine hundred ninety-four thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 89 102 136 153 178 204 267 306 356 408 534 612 712 801 1068 1224 1513 1602 2136 3026 3204 4539 6052 6408 9078 12007 12104 13617 18156 24014 27234 36021 36312 48028 54468 72042 96056 108063 108936 144084 204119 216126 288168 408238 432252 612357 816476 864504 1068623 1224714 1632952 1837071 2137246 2449428 3205869 3674142 4274492 4898856 6411738 7348284 8548984 9617607 12823476 14696568 18166591 19235214 25646952 36333182 38470428 54499773 72666364 76940856 108999546 145332728 163499319 217999092 326998638 435998184 653997276 1307994552