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1145254400 = 2952131683
BaseRepresentation
bin100010001000011…
…0011001000000000
32221210222221200122
41010100303020000
54321141120100
6305350435412
740244334053
oct10420631000
92853887618
101145254400
11538514644
1227b662b68
13153367034
14ac15ca9a
156a824985
hex44433200

1145254400 has 120 divisors (see below), whose sum is σ = 2863303344. Its totient is φ = 453939200.

The previous prime is 1145254367. The next prime is 1145254423. The reversal of 1145254400 is 44525411.

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 1145254400.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1676459 + ... + 1677141.

Almost surely, 21145254400 is an apocalyptic number.

1145254400 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 1145254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431651672).

1145254400 is an abundant number, since it is smaller than the sum of its proper divisors (1718048944).

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

1145254400 is an equidigital number, since it uses as much as digits as its factorization.

1145254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 26.

The square root of 1145254400 is about 33841.6075268300. The cubic root of 1145254400 is about 1046.2464313410.

Adding to 1145254400 its reverse (44525411), we get a palindrome (1189779811).

The spelling of 1145254400 in words is "one billion, one hundred forty-five million, two hundred fifty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 131 160 200 256 262 320 400 512 524 640 655 683 800 1048 1280 1310 1366 1600 2096 2560 2620 2732 3200 3275 3415 4192 5240 5464 6400 6550 6830 8384 10480 10928 12800 13100 13660 16768 17075 20960 21856 26200 27320 33536 34150 41920 43712 52400 54640 67072 68300 83840 87424 89473 104800 109280 136600 167680 174848 178946 209600 218560 273200 335360 349696 357892 419200 437120 447365 546400 715784 838400 874240 894730 1092800 1431568 1676800 1748480 1789460 2185600 2236825 2863136 3578920 4371200 4473650 5726272 7157840 8742400 8947300 11452544 14315680 17894600 22905088 28631360 35789200 45810176 57262720 71578400 114525440 143156800 229050880 286313600 572627200 1145254400