Search a number
-
+
20296920 = 2335773331
BaseRepresentation
bin100110101101…
…1010011011000
31102012012010210
41031123103120
520144000140
62003011120
7334343460
oct115332330
942165123
1020296920
1110503416
126969aa0
134288617
1429a4ba0
151badd80
hex135b4d8

20296920 has 128 divisors (see below), whose sum is σ = 70755840. Its totient is φ = 4561920.

The previous prime is 20296891. The next prime is 20296949. The reversal of 20296920 is 2969202.

It is an interprime number because it is at equal distance from previous prime (20296891) and next prime (20296949).

It is a super-2 number, since 2×202969202 = 823929922972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61155 + ... + 61485.

It is an arithmetic number, because the mean of its divisors is an integer number (552780).

Almost surely, 220296920 is an apocalyptic number.

20296920 is a gapful number since it is divisible by the number (20) 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 20296920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35377920).

20296920 is an abundant number, since it is smaller than the sum of its proper divisors (50458920).

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

20296920 is a wasteful number, since it uses less digits than its factorization.

20296920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 20296920 is about 4505.2103169552. The cubic root of 20296920 is about 272.7784433278.

The spelling of 20296920 in words is "twenty million, two hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 73 84 105 120 140 146 168 210 219 280 292 331 365 420 438 511 584 662 730 840 876 993 1022 1095 1324 1460 1533 1655 1752 1986 2044 2190 2317 2555 2648 2920 3066 3310 3972 4088 4380 4634 4965 5110 6132 6620 6951 7665 7944 8760 9268 9930 10220 11585 12264 13240 13902 15330 18536 19860 20440 23170 24163 27804 30660 34755 39720 46340 48326 55608 61320 69510 72489 92680 96652 120815 139020 144978 169141 193304 241630 278040 289956 338282 362445 483260 507423 579912 676564 724890 845705 966520 1014846 1353128 1449780 1691410 2029692 2537115 2899560 3382820 4059384 5074230 6765640 10148460 20296920