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455212240 = 2457711072
BaseRepresentation
bin11011001000011…
…111110011010000
31011201120011210121
4123020133303100
51413013242430
6113100440024
714165145250
oct3310376320
91151504717
10455212240
11213a5676a
12108549014
1373403272
1444657960
1529e6ca7a
hex1b21fcd0

455212240 has 120 divisors (see below), whose sum is σ = 1238170752. Its totient is φ = 152436480.

The previous prime is 455212223. The next prime is 455212253. The reversal of 455212240 is 42212554.

455212240 = T265 + T266 + ... + T1400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4254267 + ... + 4254373.

Almost surely, 2455212240 is an apocalyptic number.

455212240 is a gapful number since it is divisible by the number (40) 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 455212240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619085376).

455212240 is an abundant number, since it is smaller than the sum of its proper divisors (782958512).

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

455212240 is a wasteful number, since it uses less digits than its factorization.

455212240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 455212240 is about 21335.7034100121. The cubic root of 455212240 is about 769.2567404770.

Adding to 455212240 its reverse (42212554), we get a palindrome (497424794).

The spelling of 455212240 in words is "four hundred fifty-five million, two hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 71 80 107 112 140 142 214 280 284 355 428 497 535 560 568 710 749 856 994 1070 1136 1420 1498 1712 1988 2140 2485 2840 2996 3745 3976 4280 4970 5680 5992 7490 7597 7952 8560 9940 11449 11984 14980 15194 19880 22898 29960 30388 37985 39760 45796 53179 57245 59920 60776 75970 80143 91592 106358 114490 121552 151940 160286 183184 212716 228980 265895 303880 320572 400715 425432 457960 531790 607760 641144 801430 812879 850864 915920 1063580 1282288 1602860 1625758 2127160 3205720 3251516 4064395 4254320 5690153 6411440 6503032 8128790 11380306 13006064 16257580 22760612 28450765 32515160 45521224 56901530 65030320 91042448 113803060 227606120 455212240