Search a number
-
+
1630756064 = 25723592897
BaseRepresentation
bin110000100110011…
…0101110011100000
311012122112222202202
41201030311303200
511314433143224
6425452432332
755261124600
oct14114656340
94178488682
101630756064
11767579193
123961786a8
131ccb13c22
1411681cc00
1598276eae
hex61335ce0

1630756064 has 72 divisors (see below), whose sum is σ = 3746418480. Its totient is φ = 696708096.

The previous prime is 1630756027. The next prime is 1630756091. The reversal of 1630756064 is 4606570361.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 561464 + ... + 564360.

It is an arithmetic number, because the mean of its divisors is an integer number (52033590).

Almost surely, 21630756064 is an apocalyptic number.

1630756064 is a gapful number since it is divisible by the number (14) 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 1630756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873209240).

1630756064 is an abundant number, since it is smaller than the sum of its proper divisors (2115662416).

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

1630756064 is a wasteful number, since it uses less digits than its factorization.

1630756064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3280 (or 3265 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 38.

The square root of 1630756064 is about 40382.6208163859. The cubic root of 1630756064 is about 1177.0538550190.

The spelling of 1630756064 in words is "one billion, six hundred thirty million, seven hundred fifty-six thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 359 392 718 784 1436 1568 2513 2872 2897 5026 5744 5794 10052 11488 11588 17591 20104 20279 23176 35182 40208 40558 46352 70364 80416 81116 92704 140728 141953 162232 281456 283906 324464 562912 567812 648928 1040023 1135624 2080046 2271248 4160092 4542496 7280161 8320184 14560322 16640368 29120644 33280736 50961127 58241288 101922254 116482576 203844508 232965152 407689016 815378032 1630756064