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20120352 = 253779379
BaseRepresentation
bin100110011000…
…0001100100000
31101212012221020
41030300030200
520122322402
61555125440
7333006630
oct114601440
941765836
1020120352
11103a279a
1268a3880
134226145
14295a6c0
151b768bc
hex1330320

20120352 has 96 divisors (see below), whose sum is σ = 61286400. Its totient is φ = 5660928.

The previous prime is 20120323. The next prime is 20120363. The reversal of 20120352 is 25302102.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52899 + ... + 53277.

It is an arithmetic number, because the mean of its divisors is an integer number (638400).

Almost surely, 220120352 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 20120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30643200).

20120352 is an abundant number, since it is smaller than the sum of its proper divisors (41166048).

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

20120352 is a wasteful number, since it uses less digits than its factorization.

20120352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20120352 is about 4485.5715354902. The cubic root of 20120352 is about 271.9851491315.

Adding to 20120352 its reverse (25302102), we get a palindrome (45422454).

The spelling of 20120352 in words is "twenty million, one hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 379 474 553 632 672 758 948 1106 1137 1264 1516 1659 1896 2212 2274 2528 2653 3032 3318 3792 4424 4548 5306 6064 6636 7584 7959 8848 9096 10612 12128 13272 15918 17696 18192 21224 26544 29941 31836 36384 42448 53088 59882 63672 84896 89823 119764 127344 179646 209587 239528 254688 359292 419174 479056 628761 718584 838348 958112 1257522 1437168 1676696 2515044 2874336 3353392 5030088 6706784 10060176 20120352