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427461540 = 223511297607
BaseRepresentation
bin11001011110101…
…000101110100100
31002210100021222220
4121132220232210
51333412232130
6110225552340
713410235362
oct3136505644
91083307886
10427461540
111aa322200
12bb1a56b0
136a73802c
1440ab2632
15277da410
hex197a8ba4

427461540 has 144 divisors (see below), whose sum is σ = 1331344896. Its totient is φ = 102389760.

The previous prime is 427461539. The next prime is 427461547. The reversal of 427461540 is 45164724.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (427461547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 703917 + ... + 704523.

Almost surely, 2427461540 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 427461540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665672448).

427461540 is an abundant number, since it is smaller than the sum of its proper divisors (903883356).

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

427461540 is a wasteful number, since it uses less digits than its factorization.

427461540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 427461540 is about 20675.1430466635. The cubic root of 427461540 is about 753.2960358663.

The spelling of 427461540 in words is "four hundred twenty-seven million, four hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 97 110 121 132 165 194 220 242 291 330 363 388 484 485 582 605 607 660 726 970 1067 1164 1210 1214 1452 1455 1815 1821 1940 2134 2420 2428 2910 3035 3201 3630 3642 4268 5335 5820 6070 6402 6677 7260 7284 9105 10670 11737 12140 12804 13354 16005 18210 20031 21340 23474 26708 32010 33385 35211 36420 40062 46948 58685 58879 64020 66770 70422 73447 80124 100155 117370 117758 133540 140844 146894 176055 176637 200310 220341 234740 235516 293788 294395 352110 353274 367235 400620 440682 588790 647669 704220 706548 734470 881364 883185 1101705 1177580 1295338 1468940 1766370 1943007 2203410 2590676 3238345 3532740 3886014 4406820 6476690 7124359 7772028 9715035 12953380 14248718 19430070 21373077 28497436 35621795 38860140 42746154 71243590 85492308 106865385 142487180 213730770 427461540