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952020 = 223354143
BaseRepresentation
bin11101000011011010100
31210100221000
43220123110
5220431040
632223300
711043366
oct3503324
91710830
10952020
115a02a3
1239ab30
13274434
141aad36
1513c130
hexe86d4

952020 has 96 divisors (see below), whose sum is σ = 3104640. Its totient is φ = 241920.

The previous prime is 952009. The next prime is 952037. The reversal of 952020 is 20259.

952020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 951984 and 952002.

It is a congruent number.

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, 22119 + ... + 22161.

It is an arithmetic number, because the mean of its divisors is an integer number (32340).

2952020 is an apocalyptic number.

952020 is a gapful number since it is divisible by the number (90) 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 952020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552320).

952020 is an abundant number, since it is smaller than the sum of its proper divisors (2152620).

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

952020 is a wasteful number, since it uses less digits than its factorization.

952020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 952020 is about 975.7151223590. The cubic root of 952020 is about 98.3743835758.

Adding to 952020 its reverse (20259), we get a palindrome (972279).

The spelling of 952020 in words is "nine hundred fifty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 41 43 45 54 60 82 86 90 108 123 129 135 164 172 180 205 215 246 258 270 369 387 410 430 492 516 540 615 645 738 774 820 860 1107 1161 1230 1290 1476 1548 1763 1845 1935 2214 2322 2460 2580 3526 3690 3870 4428 4644 5289 5535 5805 7052 7380 7740 8815 10578 11070 11610 15867 17630 21156 22140 23220 26445 31734 35260 47601 52890 63468 79335 95202 105780 158670 190404 238005 317340 476010 952020