Search a number
-
+
1453054512 = 2437132911471
BaseRepresentation
bin101011010011011…
…1101101000110000
310202021011211001210
41112212331220300
510433440221022
6400104000120
751002521350
oct12646755060
93667154053
101453054512
116862363a8
12346760040
131a2066290
14dada2b60
1587874a0c
hex569bda30

1453054512 has 160 divisors (see below), whose sum is σ = 4779694080. Its totient is φ = 369976320.

The previous prime is 1453054453. The next prime is 1453054513. The reversal of 1453054512 is 2154503541.

It is a super-2 number, since 2×14530545122 = 4222734829687116288, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1453054512.

It is not an unprimeable number, because it can be changed into a prime (1453054513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120937 + ... + 132407.

It is an arithmetic number, because the mean of its divisors is an integer number (29873088).

Almost surely, 21453054512 is an apocalyptic number.

1453054512 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 1453054512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389847040).

1453054512 is an abundant number, since it is smaller than the sum of its proper divisors (3326639568).

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

1453054512 is a wasteful number, since it uses less digits than its factorization.

1453054512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11531 (or 11525 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1453054512 is about 38118.9521366997. The cubic root of 1453054512 is about 1132.6454093561.

The spelling of 1453054512 in words is "one billion, four hundred fifty-three million, fifty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 29 39 42 48 52 56 58 78 84 87 91 104 112 116 156 168 174 182 203 208 232 273 312 336 348 364 377 406 464 546 609 624 696 728 754 812 1092 1131 1218 1392 1456 1508 1624 2184 2262 2436 2639 3016 3248 4368 4524 4872 5278 6032 7917 9048 9744 10556 11471 15834 18096 21112 22942 31668 34413 42224 45884 63336 68826 80297 91768 126672 137652 149123 160594 183536 240891 275304 298246 321188 332659 447369 481782 550608 596492 642376 665318 894738 963564 997977 1043861 1192984 1284752 1330636 1789476 1927128 1995954 2087722 2328613 2385968 2661272 3131583 3578952 3854256 3991908 4175444 4324567 4657226 5322544 6263166 6985839 7157904 7983816 8350888 8649134 9314452 12526332 12973701 13971678 15967632 16701776 17298268 18628904 25052664 25947402 27943356 30271969 34596536 37257808 50105328 51894804 55886712 60543938 69193072 90815907 103789608 111773424 121087876 181631814 207579216 242175752 363263628 484351504 726527256 1453054512