Search a number
-
+
10422164040 = 2335317573701
BaseRepresentation
bin10011011010011010…
…11001101001001000
3222220100010210022120
421231031121221020
5132321033222130
64442103051240
7516161634621
oct115515315110
928810123276
1010422164040
114469049112
12202a440b20
13ca12bc192
1470c256a48
1540ee9d910
hex26d359a48

10422164040 has 128 divisors (see below), whose sum is σ = 32326456320. Its totient is φ = 2685312000.

The previous prime is 10422164023. The next prime is 10422164047. The reversal of 10422164040 is 4046122401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10422164040.

It is not an unprimeable number, because it can be changed into a prime (10422164047) 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, 2814190 + ... + 2817890.

It is an arithmetic number, because the mean of its divisors is an integer number (252550440).

Almost surely, 210422164040 is an apocalyptic number.

10422164040 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 10422164040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16163228160).

10422164040 is an abundant number, since it is smaller than the sum of its proper divisors (21904292280).

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

10422164040 is a wasteful number, since it uses less digits than its factorization.

10422164040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4499 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10422164040 its reverse (4046122401), we get a palindrome (14468286441).

The spelling of 10422164040 in words is "ten billion, four hundred twenty-two million, one hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 757 930 1240 1514 1860 2271 3028 3701 3720 3785 4542 6056 7402 7570 9084 11103 11355 14804 15140 18168 18505 22206 22710 23467 29608 30280 37010 44412 45420 46934 55515 70401 74020 88824 90840 93868 111030 114731 117335 140802 148040 187736 222060 229462 234670 281604 344193 352005 444120 458924 469340 563208 573655 688386 704010 917848 938680 1147310 1376772 1408020 1720965 2294620 2753544 2801657 2816040 3441930 4589240 5603314 6883860 8404971 11206628 13767720 14008285 16809942 22413256 28016570 33619884 42024855 56033140 67239768 84049710 86851367 112066280 168099420 173702734 260554101 336198840 347405468 434256835 521108202 694810936 868513670 1042216404 1302770505 1737027340 2084432808 2605541010 3474054680 5211082020 10422164040