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45700020 = 22325307827
BaseRepresentation
bin1010111001010…
…1001110110100
310011222210122100
42232111032310
543144400040
64311302100
71063305132
oct256251664
9104883570
1045700020
1123884113
121337a930
139611142
1460d8752
15402ab30
hex2b953b4

45700020 has 72 divisors (see below), whose sum is σ = 139243104. Its totient is φ = 12132288.

The previous prime is 45700019. The next prime is 45700033. The reversal of 45700020 is 2000754.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45699966 and 45700002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54847 + ... + 55673.

It is an arithmetic number, because the mean of its divisors is an integer number (1933932).

Almost surely, 245700020 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 45700020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69621552).

45700020 is an abundant number, since it is smaller than the sum of its proper divisors (93543084).

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

45700020 is a wasteful number, since it uses less digits than its factorization.

45700020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 45700020 is about 6760.1789917132. The cubic root of 45700020 is about 357.5242163328.

Adding to 45700020 its reverse (2000754), we get a palindrome (47700774).

The spelling of 45700020 in words is "forty-five million, seven hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 307 614 827 921 1228 1535 1654 1842 2481 2763 3070 3308 3684 4135 4605 4962 5526 6140 7443 8270 9210 9924 11052 12405 13815 14886 16540 18420 24810 27630 29772 37215 49620 55260 74430 148860 253889 507778 761667 1015556 1269445 1523334 2285001 2538890 3046668 3808335 4570002 5077780 7616670 9140004 11425005 15233340 22850010 45700020