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1220257740 = 22351339257
BaseRepresentation
bin100100010111011…
…1010011111001100
310011001010111221010
41020232322133030
54444341221430
6321030205220
742145006512
oct11056723714
93131114833
101220257740
11576892779
122a07b3810
13165a68000
14b80c44b2
15721dccb0
hex48bba7cc

1220257740 has 96 divisors (see below), whose sum is σ = 3701718720. Its totient is φ = 300338688.

The previous prime is 1220257697. The next prime is 1220257781. The reversal of 1220257740 is 477520221.

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 = 1220257698 and 1220257707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127192 + ... + 136448.

It is an arithmetic number, because the mean of its divisors is an integer number (38559570).

Almost surely, 21220257740 is an apocalyptic number.

1220257740 is a gapful number since it is divisible by the number (10) 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 1220257740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850859360).

1220257740 is an abundant number, since it is smaller than the sum of its proper divisors (2481460980).

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

1220257740 is a wasteful number, since it uses less digits than its factorization.

1220257740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 30.

The square root of 1220257740 is about 34932.1877356687. The cubic root of 1220257740 is about 1068.6049715316.

Adding to 1220257740 its reverse (477520221), we get a palindrome (1697777961).

The spelling of 1220257740 in words is "one billion, two hundred twenty million, two hundred fifty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2197 2535 3380 4394 5070 6591 8788 9257 10140 10985 13182 18514 21970 26364 27771 32955 37028 43940 46285 55542 65910 92570 111084 120341 131820 138855 185140 240682 277710 361023 481364 555420 601705 722046 1203410 1444092 1564433 1805115 2406820 3128866 3610230 4693299 6257732 7220460 7822165 9386598 15644330 18773196 20337629 23466495 31288660 40675258 46932990 61012887 81350516 93865980 101688145 122025774 203376290 244051548 305064435 406752580 610128870 1220257740