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455354040 = 2335311091123
BaseRepresentation
bin11011001001000…
…010011010111000
31011201211101022110
4123021002122320
51413032312130
6113103452320
714166305541
oct3311023270
91151741273
10455354040
11214043259
121085b70a0
137345297b
14446934c8
1529e99ab0
hex1b2426b8

455354040 has 128 divisors (see below), whose sum is σ = 1424332800. Its totient is φ = 116328960.

The previous prime is 455354017. The next prime is 455354041. The reversal of 455354040 is 40453554.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 455353989 and 455354007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455354041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404919 + ... + 406041.

It is an arithmetic number, because the mean of its divisors is an integer number (11127600).

Almost surely, 2455354040 is an apocalyptic number.

455354040 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 455354040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712166400).

455354040 is an abundant number, since it is smaller than the sum of its proper divisors (968978760).

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

455354040 is a wasteful number, since it uses less digits than its factorization.

455354040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 455354040 is about 21339.0262195818. The cubic root of 455354040 is about 769.3366074576.

The spelling of 455354040 in words is "four hundred fifty-five million, three hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 109 120 124 155 186 218 248 310 327 372 436 465 545 620 654 744 872 930 1090 1123 1240 1308 1635 1860 2180 2246 2616 3270 3369 3379 3720 4360 4492 5615 6540 6738 6758 8984 10137 11230 13080 13476 13516 16845 16895 20274 22460 26952 27032 33690 33790 34813 40548 44920 50685 67380 67580 69626 81096 101370 104439 122407 134760 135160 139252 174065 202740 208878 244814 278504 348130 367221 405480 417756 489628 522195 612035 696260 734442 835512 979256 1044390 1224070 1392520 1468884 1836105 2088780 2448140 2937768 3672210 3794617 4177560 4896280 7344420 7589234 11383851 14688840 15178468 18973085 22767702 30356936 37946170 45535404 56919255 75892340 91070808 113838510 151784680 227677020 455354040