Search a number
-
+
1013180472 = 233219372541
BaseRepresentation
bin111100011000111…
…110100000111000
32121121110220022200
4330120332200320
54033333233342
6244311550200
734051614633
oct7430764070
92547426280
101013180472
1147aa06537
1224338b360
13131ba3595
14987bcc1a
155de3694c
hex3c63e838

1013180472 has 144 divisors (see below), whose sum is σ = 2974116600. Its totient is φ = 310728960.

The previous prime is 1013180461. The next prime is 1013180477. The reversal of 1013180472 is 2740813101.

1013180472 is a `hidden beast` number, since 1 + 0 + 13 + 180 + 472 = 666.

1013180472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013180477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1872522 + ... + 1873062.

Almost surely, 21013180472 is an apocalyptic number.

1013180472 is a gapful number since it is divisible by the number (12) 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 1013180472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487058300).

1013180472 is an abundant number, since it is smaller than the sum of its proper divisors (1960936128).

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

1013180472 is a wasteful number, since it uses less digits than its factorization.

1013180472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1013180472 is about 31830.4959433560. The cubic root of 1013180472 is about 1004.3743280205.

Adding to 1013180472 its reverse (2740813101), we get a palindrome (3753993573).

The spelling of 1013180472 in words is "one billion, thirteen million, one hundred eighty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 37 38 57 72 74 76 111 114 148 152 171 222 228 296 333 342 444 456 541 666 684 703 888 1082 1332 1368 1369 1406 1623 2109 2164 2664 2738 2812 3246 4107 4218 4328 4869 5476 5624 6327 6492 8214 8436 9738 10279 10952 12321 12654 12984 16428 16872 19476 20017 20558 24642 25308 26011 30837 32856 38952 40034 41116 49284 50616 52022 60051 61674 78033 80068 82232 92511 98568 104044 120102 123348 156066 160136 180153 185022 208088 234099 240204 246696 312132 360306 370044 380323 468198 480408 624264 720612 740088 740629 760646 936396 1140969 1441224 1481258 1521292 1872792 2221887 2281938 2962516 3042584 3422907 4443774 4563876 5925032 6665661 6845814 8887548 9127752 13331322 13691628 14071951 17775096 26662644 27383256 28143902 42215853 53325288 56287804 84431706 112575608 126647559 168863412 253295118 337726824 506590236 1013180472