Search a number
-
+
1453215520 = 255293110103
BaseRepresentation
bin101011010011110…
…0100111100100000
310202021110222221001
41112213210330200
510434010344040
6400111241344
751004061641
oct12647447440
93667428831
101453215520
11686336369
12346819254
131a20c1653
14db0056c8
15878a759a
hex569e4f20

1453215520 has 96 divisors (see below), whose sum is σ = 3666539520. Its totient is φ = 543083520.

The previous prime is 1453215503. The next prime is 1453215541. The reversal of 1453215520 is 255123541.

It is a super-2 number, since 2×14532155202 = 4223670695137740800, which contains 22 as substring.

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, 138789 + ... + 148891.

It is an arithmetic number, because the mean of its divisors is an integer number (38193120).

Almost surely, 21453215520 is an apocalyptic number.

1453215520 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 1453215520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1833269760).

1453215520 is an abundant number, since it is smaller than the sum of its proper divisors (2213324000).

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

1453215520 is a wasteful number, since it uses less digits than its factorization.

1453215520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10178 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 1453215520 is about 38121.0639935456. The cubic root of 1453215520 is about 1132.6872426655.

The spelling of 1453215520 in words is "one billion, four hundred fifty-three million, two hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 31 32 40 58 62 80 116 124 145 155 160 232 248 290 310 464 496 580 620 899 928 992 1160 1240 1798 2320 2480 3596 4495 4640 4960 7192 8990 10103 14384 17980 20206 28768 35960 40412 50515 71920 80824 101030 143840 161648 202060 292987 313193 323296 404120 585974 626386 808240 1171948 1252772 1464935 1565965 1616480 2343896 2505544 2929870 3131930 4687792 5011088 5859740 6263860 9082597 9375584 10022176 11719480 12527720 18165194 23438960 25055440 36330388 45412985 46877920 50110880 72660776 90825970 145321552 181651940 290643104 363303880 726607760 1453215520