Search a number
-
+
1144710630 = 23457201889
BaseRepresentation
bin100010000111010…
…1110010111100110
32221202222022210000
41010032232113212
54321021220010
6305331042130
740236610530
oct10416562746
92852868700
101144710630
11538183048
1227b440346
1315320668b
14ac05a850
156a7687c0
hex443ae5e6

1144710630 has 80 divisors (see below), whose sum is σ = 3517731360. Its totient is φ = 261646848.

The previous prime is 1144710617. The next prime is 1144710643. The reversal of 1144710630 is 360174411.

It is a happy number.

1144710630 is a `hidden beast` number, since 1 + 14 + 4 + 7 + 10 + 630 = 666.

It is an interprime number because it is at equal distance from previous prime (1144710617) and next prime (1144710643).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1144710594 and 1144710603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 95275 + ... + 106614.

It is an arithmetic number, because the mean of its divisors is an integer number (43971642).

Almost surely, 21144710630 is an apocalyptic number.

1144710630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1144710630 is an abundant number, since it is smaller than the sum of its proper divisors (2373020730).

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

1144710630 is a wasteful number, since it uses less digits than its factorization.

1144710630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201915 (or 201906 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1144710630 is about 33833.5725278901. The cubic root of 1144710630 is about 1046.0808182141.

The spelling of 1144710630 in words is "one billion, one hundred forty-four million, seven hundred ten thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 378 405 567 630 810 945 1134 1890 2835 5670 201889 403778 605667 1009445 1211334 1413223 1817001 2018890 2826446 3028335 3634002 4239669 5451003 6056670 7066115 8479338 9085005 10902006 12719007 14132230 16353009 18170010 21198345 25438014 27255015 32706018 38157021 42396690 54510030 63595035 76314042 81765045 114471063 127190070 163530090 190785105 228942126 381570210 572355315 1144710630