Search a number
-
+
1453723700 = 22521113277367
BaseRepresentation
bin101011010100110…
…0001000000110100
310202022102211000112
41112221201000310
510434123124300
6400130202152
751011306342
oct12651410064
93668384015
101453723700
11686653150
12346a23358
131a223ba50
14db0d8992
1587957e35
hex56a61034

1453723700 has 144 divisors (see below), whose sum is σ = 3729594624. Its totient is φ = 484876800.

The previous prime is 1453723699. The next prime is 1453723709. The reversal of 1453723700 is 73273541.

It is a super-2 number, since 2×14537237002 = 4226625191883380000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1453723709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3960917 + ... + 3961283.

Almost surely, 21453723700 is an apocalyptic number.

1453723700 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 1453723700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1864797312).

1453723700 is an abundant number, since it is smaller than the sum of its proper divisors (2275870924).

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

1453723700 is a wasteful number, since it uses less digits than its factorization.

1453723700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 1453723700 is about 38127.7287548052. The cubic root of 1453723700 is about 1132.8192583949.

The spelling of 1453723700 in words is "one billion, four hundred fifty-three million, seven hundred twenty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 277 286 325 367 550 554 572 650 715 734 1100 1108 1300 1385 1430 1468 1835 2770 2860 3047 3575 3601 3670 4037 4771 5540 6094 6925 7150 7202 7340 8074 9175 9542 12188 13850 14300 14404 15235 16148 18005 18350 19084 20185 23855 27700 30470 36010 36700 39611 40370 47710 52481 60940 72020 76175 79222 80740 90025 95420 100925 101659 104962 119275 152350 158444 180050 198055 201850 203318 209924 238550 262405 304700 360100 396110 403700 406636 477100 508295 524810 792220 990275 1016590 1049620 1118249 1312025 1321567 1980550 2033180 2236498 2541475 2624050 2643134 3961100 4472996 5082950 5248100 5286268 5591245 6607835 10165900 11182490 13215670 14537237 22364980 26431340 27956225 29074474 33039175 55912450 58148948 66078350 72686185 111824900 132156700 145372370 290744740 363430925 726861850 1453723700