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557211340 = 225722359419
BaseRepresentation
bin100001001101100…
…101111011001100
31102211111021021001
4201031211323030
52120121230330
6131142550044
716544134600
oct4115457314
91384437231
10557211340
11266593144
12136738324
138b59696a
1454009500
1533db99ca
hex21365ecc

557211340 has 144 divisors (see below), whose sum is σ = 1447891200. Its totient is φ = 179211648.

The previous prime is 557211311. The next prime is 557211353. The reversal of 557211340 is 43112755.

It is a happy number.

557211340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 557211299 and 557211308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1329651 + ... + 1330069.

It is an arithmetic number, because the mean of its divisors is an integer number (10054800).

Almost surely, 2557211340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557211340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723945600).

557211340 is an abundant number, since it is smaller than the sum of its proper divisors (890679860).

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

557211340 is a wasteful number, since it uses less digits than its factorization.

557211340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 557211340 is about 23605.3243993807. The cubic root of 557211340 is about 822.8865845316.

The spelling of 557211340 in words is "five hundred fifty-seven million, two hundred eleven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 59 70 92 98 115 118 140 161 196 230 236 245 295 322 413 419 460 490 590 644 805 826 838 980 1127 1180 1357 1610 1652 1676 2065 2095 2254 2714 2891 2933 3220 4130 4190 4508 5428 5635 5782 5866 6785 8260 8380 9499 9637 11270 11564 11732 13570 14455 14665 18998 19274 20531 22540 24721 27140 28910 29330 37996 38548 41062 47495 48185 49442 57820 58660 66493 67459 82124 94990 96370 98884 102655 123605 132986 134918 173047 189980 192740 205310 247210 265972 269836 332465 337295 346094 410620 472213 494420 568583 664930 674590 692188 865235 944426 1137166 1211329 1329860 1349180 1730470 1888852 2274332 2361065 2422658 2842915 3460940 3980081 4722130 4845316 5685830 6056645 7960162 9444260 11371660 12113290 15920324 19900405 24226580 27860567 39800810 55721134 79601620 111442268 139302835 278605670 557211340