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76952020 = 225231311277
BaseRepresentation
bin1001001011000…
…11000111010100
312100210120022211
410211203013110
5124144431040
611345203204
71623036625
oct445430724
9170716284
1076952020
113a48a212
1221930504
1312c33c52
14a311a4c
156b508ea
hex49631d4

76952020 has 48 divisors (see below), whose sum is σ = 170045568. Its totient is φ = 29194880.

The previous prime is 76952017. The next prime is 76952027. The reversal of 76952020 is 2025967.

It is a super-2 number, since 2×769520202 = 11843226764160800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76952027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59622 + ... + 60898.

It is an arithmetic number, because the mean of its divisors is an integer number (3542616).

Almost surely, 276952020 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 76952020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85022784).

76952020 is an abundant number, since it is smaller than the sum of its proper divisors (93093548).

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

76952020 is a wasteful number, since it uses less digits than its factorization.

76952020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1440 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 76952020 is about 8772.2300471431. The cubic root of 76952020 is about 425.3437035127.

Adding to 76952020 its reverse (2025967), we get a palindrome (78977987).

The spelling of 76952020 in words is "seventy-six million, nine hundred fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 131 230 262 460 524 655 1277 1310 2554 2620 3013 5108 6026 6385 12052 12770 15065 25540 29371 30130 58742 60260 117484 146855 167287 293710 334574 587420 669148 836435 1672870 3345740 3847601 7695202 15390404 19238005 38476010 76952020