Search a number
-
+
1534909950 = 232527716863
BaseRepresentation
bin101101101111100…
…1101110111111110
310221222012111121200
41123133031313332
511120414104300
6412150240330
753015343060
oct13337156776
93858174550
101534909950
11718464622
1236a0560a6
131b5cc6052
14107bcd730
158eb43200
hex5b7cddfe

1534909950 has 144 divisors (see below), whose sum is σ = 4779979776. Its totient is φ = 345844800.

The previous prime is 1534909949. The next prime is 1534909963. The reversal of 1534909950 is 599094351.

It is a happy number.

1534909950 is a `hidden beast` number, since 153 + 490 + 9 + 9 + 5 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 1534909896 and 1534909905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 220219 + ... + 227081.

It is an arithmetic number, because the mean of its divisors is an integer number (33194304).

Almost surely, 21534909950 is an apocalyptic number.

1534909950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1534909950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2389989888).

1534909950 is an abundant number, since it is smaller than the sum of its proper divisors (3245069826).

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

1534909950 is a wasteful number, since it uses less digits than its factorization.

1534909950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6959 (or 6951 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 45.

The square root of 1534909950 is about 39177.9268211068. The cubic root of 1534909950 is about 1153.5266534358.

The spelling of 1534909950 in words is "one billion, five hundred thirty-four million, nine hundred nine thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 71 75 90 105 126 142 150 175 210 213 225 315 350 355 426 450 497 525 630 639 710 994 1050 1065 1278 1491 1575 1775 2130 2485 2982 3150 3195 3550 4473 4970 5325 6390 6863 7455 8946 10650 12425 13726 14910 15975 20589 22365 24850 31950 34315 37275 41178 44730 48041 61767 68630 74550 96082 102945 111825 123534 144123 171575 205890 223650 240205 288246 308835 343150 432369 480410 487273 514725 617670 720615 864738 974546 1029450 1201025 1441230 1461819 1544175 2161845 2402050 2436365 2923638 3088350 3410911 3603075 4323690 4385457 4872730 6821822 7206150 7309095 8770914 10232733 10809225 12181825 14618190 17054555 20465466 21618450 21927285 24363650 30698199 34109110 36545475 43854570 51163665 61396398 73090950 85272775 102327330 109636425 153490995 170545550 219272850 255818325 306981990 511636650 767454975 1534909950