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20260416 = 2631153181
BaseRepresentation
bin100110101001…
…0011001000000
31102010100001210
41031102121000
520141313131
62002130120
7334132161
oct115223100
942110053
1020260416
1110488a50
126950940
134274b17
142995768
151ba3146
hex1352640

20260416 has 112 divisors (see below), whose sum is σ = 59911488. Its totient is φ = 5990400.

The previous prime is 20260399. The next prime is 20260433. The reversal of 20260416 is 61406202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20260399) and next prime (20260433).

It is a junction number, because it is equal to n+sod(n) for n = 20260392 and 20260401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111846 + ... + 112026.

It is an arithmetic number, because the mean of its divisors is an integer number (534924).

Almost surely, 220260416 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 20260416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29955744).

20260416 is an abundant number, since it is smaller than the sum of its proper divisors (39651072).

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

20260416 is a wasteful number, since it uses less digits than its factorization.

20260416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 20260416 is about 4501.1571845471. The cubic root of 20260416 is about 272.6148145639.

Adding to 20260416 its reverse (61406202), we get a palindrome (81666618).

The spelling of 20260416 in words is "twenty million, two hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 53 64 66 88 96 106 132 159 176 181 192 212 264 318 352 362 424 528 543 583 636 704 724 848 1056 1086 1166 1272 1448 1696 1749 1991 2112 2172 2332 2544 2896 3392 3498 3982 4344 4664 5088 5792 5973 6996 7964 8688 9328 9593 10176 11584 11946 13992 15928 17376 18656 19186 23892 27984 28779 31856 34752 37312 38372 47784 55968 57558 63712 76744 95568 105523 111936 115116 127424 153488 191136 211046 230232 306976 316569 382272 422092 460464 613952 633138 844184 920928 1266276 1688368 1841856 2532552 3376736 5065104 6753472 10130208 20260416