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1450670400 = 263252100741
BaseRepresentation
bin101011001110111…
…0111100101000000
310202002200200200100
41112131313211000
510432332423100
6355540522400
750643331524
oct12635674500
93662620610
101450670400
11684958163
123459b0400
131a171006a
14da941d84
1587553400
hex56777940

1450670400 has 126 divisors (see below), whose sum is σ = 5156076302. Its totient is φ = 386841600.

The previous prime is 1450670357. The next prime is 1450670413. The reversal of 1450670400 is 40760541.

It can be written as a sum of positive squares in 3 ways, for example, as 72182016 + 1378488384 = 8496^2 + 37128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 35971 + ... + 64770.

Almost surely, 21450670400 is an apocalyptic number.

1450670400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1450670400 is an abundant number, since it is smaller than the sum of its proper divisors (3705405902).

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

1450670400 is a wasteful number, since it uses less digits than its factorization.

1450670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100769 (or 100751 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1450670400 is about 38087.6672953333. The cubic root of 1450670400 is about 1132.0256042688.

The spelling of 1450670400 in words is "one billion, four hundred fifty million, six hundred seventy thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 720 800 900 960 1200 1440 1600 1800 2400 2880 3600 4800 7200 14400 100741 201482 302223 402964 503705 604446 805928 906669 1007410 1208892 1511115 1611856 1813338 2014820 2417784 2518525 3022230 3223712 3626676 4029640 4533345 4835568 5037050 6044460 6447424 7253352 7555575 8059280 9066690 9671136 10074100 12088920 14506704 15111150 16118560 18133380 19342272 20148200 22666725 24177840 29013408 30222300 32237120 36266760 40296400 45333450 48355680 58026816 60444600 72533520 80592800 90666900 96711360 120889200 145067040 161185600 181333800 241778400 290134080 362667600 483556800 725335200 1450670400