Search a number
-
+
20058948 = 22337132157
BaseRepresentation
bin100110010000…
…1001101000100
31101202002201000
41030201031010
520113341243
61553533300
7332332620
oct114411504
941662630
1020058948
1110360648
126874230
134204200
142942180
151b635d3
hex1321344

20058948 has 144 divisors (see below), whose sum is σ = 64767360. Its totient is φ = 5256576.

The previous prime is 20058937. The next prime is 20058949. The reversal of 20058948 is 84985002.

It is a super-2 number, since 2×200589482 = 804722789733408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20058949) 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, 127686 + ... + 127842.

Almost surely, 220058948 is an apocalyptic number.

20058948 is a gapful number since it is divisible by the number (28) 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 20058948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32383680).

20058948 is an abundant number, since it is smaller than the sum of its proper divisors (44708412).

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

20058948 is a wasteful number, since it uses less digits than its factorization.

20058948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 20058948 is about 4478.7216926261. The cubic root of 20058948 is about 271.7081825638.

The spelling of 20058948 in words is "twenty million, fifty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 157 169 182 189 234 252 273 314 338 351 364 378 468 471 507 546 628 676 702 756 819 942 1014 1092 1099 1183 1404 1413 1521 1638 1884 2028 2041 2198 2366 2457 2826 3042 3276 3297 3549 4082 4239 4396 4563 4732 4914 5652 6084 6123 6594 7098 8164 8478 9126 9828 9891 10647 12246 13188 14196 14287 16956 18252 18369 19782 21294 24492 26533 28574 29673 31941 36738 39564 42588 42861 53066 55107 57148 59346 63882 73476 79599 85722 106132 110214 118692 127764 128583 159198 171444 185731 220428 238797 257166 318396 371462 385749 477594 514332 557193 716391 742924 771498 955188 1114386 1432782 1542996 1671579 2228772 2865564 3343158 5014737 6686316 10029474 20058948