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20352072 = 23313374143
BaseRepresentation
bin100110110100…
…0110001001000
31102021222210110
41031220301020
520202231242
62004114320
7334663326
oct115506110
942258713
1020352072
11105408a4
1269959a0
1342a7760
1429bad16
151bc039c
hex1368c48

20352072 has 128 divisors (see below), whose sum is σ = 58988160. Its totient is φ = 5806080.

The previous prime is 20352061. The next prime is 20352083. The reversal of 20352072 is 27025302.

It is an interprime number because it is at equal distance from previous prime (20352061) and next prime (20352083).

It is a super-3 number, since 3×203520723 (a number of 23 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 473283 + ... + 473325.

It is an arithmetic number, because the mean of its divisors is an integer number (460845).

Almost surely, 220352072 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 20352072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29494080).

20352072 is an abundant number, since it is smaller than the sum of its proper divisors (38636088).

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

20352072 is a wasteful number, since it uses less digits than its factorization.

20352072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 20352072 is about 4511.3270774795. The cubic root of 20352072 is about 273.0252898253.

Adding to 20352072 its reverse (27025302), we get a palindrome (47377374).

The spelling of 20352072 in words is "twenty million, three hundred fifty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 41 43 52 74 78 82 86 104 111 123 129 148 156 164 172 222 246 258 296 312 328 344 444 481 492 516 533 559 888 962 984 1032 1066 1118 1443 1517 1591 1599 1677 1763 1924 2132 2236 2886 3034 3182 3198 3354 3526 3848 4264 4472 4551 4773 5289 5772 6068 6364 6396 6708 7052 9102 9546 10578 11544 12136 12728 12792 13416 14104 18204 19092 19721 20683 21156 22919 36408 38184 39442 41366 42312 45838 59163 62049 65231 68757 78884 82732 91676 118326 124098 130462 137514 157768 165464 183352 195693 236652 248196 260924 275028 391386 473304 496392 521848 550056 782772 848003 1565544 1696006 2544009 3392012 5088018 6784024 10176036 20352072