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1137845104 = 241113946511
BaseRepresentation
bin100001111010010…
…0010001101110000
32221022001112001021
41003310202031300
54312242020404
6304523545224
740124344444
oct10364421560
92838045037
101137845104
11534313960
1227908b214
13151971736
14ab190824
1569d5e454
hex43d22370

1137845104 has 40 divisors (see below), whose sum is σ = 2422344960. Its totient is φ = 513470400.

The previous prime is 1137845101. The next prime is 1137845113. The reversal of 1137845104 is 4015487311.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1137845104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1137845101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1209 + ... + 47719.

It is an arithmetic number, because the mean of its divisors is an integer number (60558624).

Almost surely, 21137845104 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 1137845104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211172480).

1137845104 is an abundant number, since it is smaller than the sum of its proper divisors (1284499856).

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

1137845104 is a wasteful number, since it uses less digits than its factorization.

1137845104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46669 (or 46663 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 34.

The square root of 1137845104 is about 33731.9596821768. The cubic root of 1137845104 is about 1043.9852955656.

The spelling of 1137845104 in words is "one billion, one hundred thirty-seven million, eight hundred forty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 1112 1529 2224 3058 6116 12232 24464 46511 93022 186044 372088 511621 744176 1023242 2046484 4092968 6465029 8185936 12930058 25860116 51720232 71115319 103440464 142230638 284461276 568922552 1137845104