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1020032442 = 23211131920857
BaseRepresentation
bin111100110011000…
…111010110111010
32122002101000110100
4330303013112322
54042112014232
6245114500230
734164063342
oct7463072672
92562330410
101020032442
11483866520
12245734676
131334322c0
1499683d22
155e83bc7c
hex3ccc75ba

1020032442 has 96 divisors (see below), whose sum is σ = 2733232320. Its totient is φ = 270293760.

The previous prime is 1020032407. The next prime is 1020032449. The reversal of 1020032442 is 2442300201.

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

It is not an unprimeable number, because it can be changed into a prime (1020032449) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38478 + ... + 59334.

It is an arithmetic number, because the mean of its divisors is an integer number (28471170).

Almost surely, 21020032442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020032442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366616160).

1020032442 is an abundant number, since it is smaller than the sum of its proper divisors (1713199878).

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

1020032442 is a wasteful number, since it uses less digits than its factorization.

1020032442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20908 (or 20905 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1020032442 is about 31937.9467405154. The cubic root of 1020032442 is about 1006.6333816215.

Adding to 1020032442 its reverse (2442300201), we get a palindrome (3462332643).

The spelling of 1020032442 in words is "one billion, twenty million, thirty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 11 13 18 19 22 26 33 38 39 57 66 78 99 114 117 143 171 198 209 234 247 286 342 418 429 494 627 741 858 1254 1287 1482 1881 2223 2574 2717 3762 4446 5434 8151 16302 20857 24453 41714 48906 62571 125142 187713 229427 271141 375426 396283 458854 542282 688281 792566 813423 1188849 1376562 1626846 2064843 2377698 2440269 2982551 3566547 4129686 4359113 4880538 5151679 5965102 7133094 8718226 8947653 10303358 13077339 15455037 17895306 26154678 26842959 30910074 39232017 46365111 53685918 56668469 78464034 92730222 113336938 170005407 340010814 510016221 1020032442