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2104023432 = 233747793373
BaseRepresentation
bin111110101101000…
…1101100110001000
312102122002110112210
41331122031212020
513302112222212
6544440305120
7103065622050
oct17532154610
95378073483
102104023432
1198a736a45
124a87721a0
13276b992a4
1415d616560
15c4aae53c
hex7d68d988

2104023432 has 128 divisors (see below), whose sum is σ = 6218956800. Its totient is φ = 580739328.

The previous prime is 2104023431. The next prime is 2104023451. The reversal of 2104023432 is 2343204012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2104023399 and 2104023408.

It is not an unprimeable number, because it can be changed into a prime (2104023431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 622098 + ... + 625470.

It is an arithmetic number, because the mean of its divisors is an integer number (48585600).

Almost surely, 22104023432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2104023432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109478400).

2104023432 is an abundant number, since it is smaller than the sum of its proper divisors (4114933368).

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

2104023432 is a wasteful number, since it uses less digits than its factorization.

2104023432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3515 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2104023432 is about 45869.6351849456. The cubic root of 2104023432 is about 1281.3964723223.

Adding to 2104023432 its reverse (2343204012), we get a palindrome (4447227444).

The spelling of 2104023432 in words is "two billion, one hundred four million, twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 79 84 94 141 158 168 188 237 282 316 329 376 474 553 564 632 658 948 987 1106 1128 1316 1659 1896 1974 2212 2632 3318 3373 3713 3948 4424 6636 6746 7426 7896 10119 11139 13272 13492 14852 20238 22278 23611 25991 26984 29704 40476 44556 47222 51982 70833 77973 80952 89112 94444 103964 141666 155946 158531 188888 207928 266467 283332 311892 317062 475593 532934 566664 623784 634124 799401 951186 1065868 1109717 1268248 1598802 1865269 1902372 2131736 2219434 3197604 3329151 3730538 3804744 4438868 5595807 6395208 6658302 7461076 8877736 11191614 12523949 13316604 14922152 22383228 25047898 26633208 37571847 44766456 50095796 75143694 87667643 100191592 150287388 175335286 263002929 300574776 350670572 526005858 701341144 1052011716 2104023432