Search a number
-
+
1481780430 = 2325134329453
BaseRepresentation
bin101100001010010…
…0010110011001110
310211021020020121200
41120110202303032
511013313433210
6403011410330
751501632364
oct13024426316
93737206550
101481780430
116a0476629
123542b39a6
131a7cb3370
14100b1d634
158a14b0c0
hex58522cce

1481780430 has 96 divisors (see below), whose sum is σ = 4245617376. Its totient is φ = 356251392.

The previous prime is 1481780411. The next prime is 1481780441. The reversal of 1481780430 is 340871841.

1481780430 is a `hidden beast` number, since 148 + 1 + 7 + 80 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35584 + ... + 65036.

It is an arithmetic number, because the mean of its divisors is an integer number (44225181).

Almost surely, 21481780430 is an apocalyptic number.

1481780430 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 1481780430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122808688).

1481780430 is an abundant number, since it is smaller than the sum of its proper divisors (2763836946).

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

1481780430 is a wasteful number, since it uses less digits than its factorization.

1481780430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29522 (or 29519 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 1481780430 is about 38493.9012052559. The cubic root of 1481780430 is about 1140.0606385104.

The spelling of 1481780430 in words is "one billion, four hundred eighty-one million, seven hundred eighty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 43 45 65 78 86 90 117 129 130 195 215 234 258 387 390 430 559 585 645 774 1118 1170 1290 1677 1935 2795 3354 3870 5031 5590 8385 10062 16770 25155 29453 50310 58906 88359 147265 176718 265077 294530 382889 441795 530154 765778 883590 1148667 1266479 1325385 1914445 2297334 2532958 2650770 3446001 3799437 3828890 5743335 6332395 6892002 7598874 11398311 11486670 12664790 16464227 17230005 18997185 22796622 32928454 34460010 37994370 49392681 56991555 82321135 98785362 113983110 148178043 164642270 246963405 296356086 493926810 740890215 1481780430