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455114240 = 2957109233
BaseRepresentation
bin11011001000000…
…111111000000000
31011201101012100222
4123020013320000
51413002123430
6113054402212
714164256450
oct3310077000
91151335328
10455114240
1121399a079
12108500368
137339a789
144462dd60
1529e4d9e5
hex1b207e00

455114240 has 160 divisors (see below), whose sum is σ = 1263936960. Its totient is φ = 153944064.

The previous prime is 455114221. The next prime is 455114249. The reversal of 455114240 is 42411554.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455114249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1953164 + ... + 1953396.

It is an arithmetic number, because the mean of its divisors is an integer number (7899606).

Almost surely, 2455114240 is an apocalyptic number.

455114240 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 455114240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631968480).

455114240 is an abundant number, since it is smaller than the sum of its proper divisors (808822720).

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

455114240 is a wasteful number, since it uses less digits than its factorization.

455114240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 356 counting only the distinct ones).

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

The square root of 455114240 is about 21333.4066665406. The cubic root of 455114240 is about 769.2015335761.

Adding to 455114240 its reverse (42411554), we get a palindrome (497525794).

The spelling of 455114240 in words is "four hundred fifty-five million, one hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 109 112 128 140 160 218 224 233 256 280 320 436 448 466 512 545 560 640 763 872 896 932 1090 1120 1165 1280 1526 1631 1744 1792 1864 2180 2240 2330 2560 3052 3262 3488 3584 3728 3815 4360 4480 4660 6104 6524 6976 7456 7630 8155 8720 8960 9320 12208 13048 13952 14912 15260 16310 17440 17920 18640 24416 25397 26096 27904 29824 30520 32620 34880 37280 48832 50794 52192 55808 59648 61040 65240 69760 74560 97664 101588 104384 119296 122080 126985 130480 139520 149120 177779 195328 203176 208768 244160 253970 260960 279040 298240 355558 390656 406352 417536 488320 507940 521920 596480 711116 812704 835072 888895 976640 1015880 1043840 1422232 1625408 1777790 1953280 2031760 2087680 2844464 3250816 3555580 4063520 4175360 5688928 6501632 7111160 8127040 11377856 13003264 14222320 16254080 22755712 28444640 32508160 45511424 56889280 65016320 91022848 113778560 227557120 455114240