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1021972040 = 235315961229
BaseRepresentation
bin111100111010100…
…000111001001000
32122020000120002022
4330322200321020
54043111101130
6245224224012
734216422215
oct7472407110
92566016068
101021972040
114849707a1
1224630b008
131339610ab
1499a2ab0c
155eac17e5
hex3cea0e48

1021972040 has 128 divisors (see below), whose sum is σ = 2464128000. Its totient is φ = 380851200.

The previous prime is 1021972001. The next prime is 1021972073. The reversal of 1021972040 is 402791201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4462646 + ... + 4462874.

It is an arithmetic number, because the mean of its divisors is an integer number (19251000).

Almost surely, 21021972040 is an apocalyptic number.

1021972040 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 1021972040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232064000).

1021972040 is an abundant number, since it is smaller than the sum of its proper divisors (1442155960).

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

1021972040 is a wasteful number, since it uses less digits than its factorization.

1021972040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 1021972040 is about 31968.2974210389. The cubic root of 1021972040 is about 1007.2710175038.

The spelling of 1021972040 in words is "one billion, twenty-one million, nine hundred seventy-two thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 59 61 62 118 122 124 155 229 236 244 248 295 305 310 458 472 488 590 610 620 916 1145 1180 1220 1240 1829 1832 1891 2290 2360 2440 3599 3658 3782 4580 7099 7198 7316 7564 9145 9160 9455 13511 13969 14198 14396 14632 15128 17995 18290 18910 27022 27938 28396 28792 35495 35990 36580 37820 54044 55876 56792 67555 69845 70990 71980 73160 75640 108088 111569 111752 135110 139690 141980 143960 223138 270220 279380 283960 418841 433039 446276 540440 557845 558760 824171 837682 866078 892552 1115690 1648342 1675364 1732156 2094205 2165195 2231380 3296684 3350728 3464312 4120855 4188410 4330390 4462760 6593368 8241710 8376820 8660780 16483420 16753640 17321560 25549301 32966840 51098602 102197204 127746505 204394408 255493010 510986020 1021972040