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1021014420 = 2235137223557
BaseRepresentation
bin111100110110110…
…111000110010100
32122011012220110220
4330312313012110
54042334430140
6245151514340
734205323266
oct7466670624
92564186426
101021014420
11484377278
12245b289b0
131336b725a
149985bb36
155e982bd0
hex3cdb7194

1021014420 has 96 divisors (see below), whose sum is σ = 2897814528. Its totient is φ = 268588032.

The previous prime is 1021014359. The next prime is 1021014479. The reversal of 1021014420 is 244101201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1021014420.

It is a congruent number.

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, 1832782 + ... + 1833338.

It is an arithmetic number, because the mean of its divisors is an integer number (30185568).

Almost surely, 21021014420 is an apocalyptic number.

1021014420 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 1021014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1448907264).

1021014420 is an abundant number, since it is smaller than the sum of its proper divisors (1876800108).

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

1021014420 is a wasteful number, since it uses less digits than its factorization.

1021014420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1021014420 is about 31953.3162598188. The cubic root of 1021014420 is about 1006.9563042917.

Adding to 1021014420 its reverse (244101201), we get a palindrome (1265115621).

The spelling of 1021014420 in words is "one billion, twenty-one million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 137 223 274 411 446 548 557 669 685 822 892 1114 1115 1338 1370 1644 1671 2055 2228 2230 2676 2740 2785 3342 3345 4110 4460 5570 6684 6690 8220 8355 11140 13380 16710 30551 33420 61102 76309 91653 122204 124211 152618 152755 183306 228927 248422 305236 305510 366612 372633 381545 457854 458265 496844 611020 621055 745266 763090 915708 916530 1144635 1242110 1490532 1526180 1833060 1863165 2289270 2484220 3726330 4578540 7452660 17016907 34033814 51050721 68067628 85084535 102101442 170169070 204202884 255253605 340338140 510507210 1021014420