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1220374540 = 2257112611181
BaseRepresentation
bin100100010111101…
…0111000000001100
310011001100110011001
41020233113000030
54444403441130
6321032510044
742146004160
oct11057270014
93131313131
101220374540
11576962500
122a084b324
13165aa9218
14b8114ca0
15722126ca
hex48bd700c

1220374540 has 144 divisors (see below), whose sum is σ = 3274915392. Its totient is φ = 373824000.

The previous prime is 1220374531. The next prime is 1220374577. The reversal of 1220374540 is 454730221.

1220374540 is nontrivially palindromic in base 3.

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

1220374540 is an undulating number in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 1220374499 and 1220374508.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1032750 + ... + 1033930.

It is an arithmetic number, because the mean of its divisors is an integer number (22742468).

Almost surely, 21220374540 is an apocalyptic number.

1220374540 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 1220374540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637457696).

1220374540 is an abundant number, since it is smaller than the sum of its proper divisors (2054540852).

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

1220374540 is a wasteful number, since it uses less digits than its factorization.

1220374540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1267 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 1220374540 is about 34933.8595062155. The cubic root of 1220374540 is about 1068.6390651701.

The spelling of 1220374540 in words is "one billion, two hundred twenty million, three hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 61 70 77 110 121 122 140 154 220 242 244 305 308 385 427 484 605 610 671 770 847 854 1181 1210 1220 1342 1540 1694 1708 2135 2362 2420 2684 3355 3388 4235 4270 4697 4724 5905 6710 7381 8267 8470 8540 9394 11810 12991 13420 14762 16534 16940 18788 23485 23620 25982 29524 33068 36905 41335 46970 51667 51964 64955 72041 73810 82670 90937 93940 103334 129910 142901 144082 147620 165340 181874 206668 258335 259820 285802 288164 360205 363748 454685 504287 516670 571604 714505 720410 792451 909370 1000307 1008574 1033340 1429010 1440820 1584902 1818740 2000614 2017148 2521435 2858020 3169804 3962255 4001228 5001535 5042870 5547157 7924510 8716961 10003070 10085740 11094314 15849020 17433922 20006140 22188628 27735785 34867844 43584805 55471570 61018727 87169610 110943140 122037454 174339220 244074908 305093635 610187270 1220374540