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1021414140 = 2232541138403
BaseRepresentation
bin111100111000011…
…000101011111100
32122011222012210100
4330320120223330
54042440223030
6245204241100
734211606535
oct7470305374
92564865710
101021414140
1148461a61a
122460a0190
131337c7186
149992368c
155ea11360
hex3ce18afc

1021414140 has 72 divisors (see below), whose sum is σ = 3173880528. Its totient is φ = 265731840.

The previous prime is 1021414127. The next prime is 1021414151. The reversal of 1021414140 is 414141201.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 23 ways as a sum of consecutive naturals, for example, 61822 + ... + 76581.

It is an arithmetic number, because the mean of its divisors is an integer number (44081674).

Almost surely, 21021414140 is an apocalyptic number.

1021414140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021414140 is an abundant number, since it is smaller than the sum of its proper divisors (2152466388).

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

1021414140 is a wasteful number, since it uses less digits than its factorization.

1021414140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138459 (or 138454 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1021414140 is about 31959.5703976133. The cubic root of 1021414140 is about 1007.0876925960.

Adding to 1021414140 its reverse (414141201), we get a palindrome (1435555341).

The spelling of 1021414140 in words is "one billion, twenty-one million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 820 1230 1476 1845 2460 3690 7380 138403 276806 415209 553612 692015 830418 1245627 1384030 1660836 2076045 2491254 2768060 4152090 4982508 5674523 6228135 8304180 11349046 12456270 17023569 22698092 24912540 28372615 34047138 51070707 56745230 68094276 85117845 102141414 113490460 170235690 204282828 255353535 340471380 510707070 1021414140