Search a number
-
+
661012440 = 233511571877
BaseRepresentation
bin100111011001100…
…011111111011000
31201001210220121020
4213121203333120
52323204344230
6145331442440
722244340654
oct4731437730
91631726536
10661012440
1130a140480
12165456420
13a6c3b62a
1463b09a64
153d070810
hex27663fd8

661012440 has 128 divisors (see below), whose sum is σ = 2169573120. Its totient is φ = 159782400.

The previous prime is 661012427. The next prime is 661012463. The reversal of 661012440 is 44210166.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 661012440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753282 + ... + 754158.

It is an arithmetic number, because the mean of its divisors is an integer number (16949790).

Almost surely, 2661012440 is an apocalyptic number.

661012440 is a gapful number since it is divisible by the number (60) 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 661012440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084786560).

661012440 is an abundant number, since it is smaller than the sum of its proper divisors (1508560680).

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

661012440 is a wasteful number, since it uses less digits than its factorization.

661012440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1473 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 661012440 is about 25710.1621931873. The cubic root of 661012440 is about 871.1037385178.

The spelling of 661012440 in words is "six hundred sixty-one million, twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 571 660 877 1142 1320 1713 1754 2284 2631 2855 3426 3508 4385 4568 5262 5710 6281 6852 7016 8565 8770 9647 10524 11420 12562 13155 13704 17130 17540 18843 19294 21048 22840 25124 26310 28941 31405 34260 35080 37686 38588 48235 50248 52620 57882 62810 68520 75372 77176 94215 96470 105240 115764 125620 144705 150744 188430 192940 231528 251240 289410 376860 385880 500767 578820 753720 1001534 1157640 1502301 2003068 2503835 3004602 4006136 5007670 5508437 6009204 7511505 10015340 11016874 12018408 15023010 16525311 20030680 22033748 27542185 30046020 33050622 44067496 55084370 60092040 66101244 82626555 110168740 132202488 165253110 220337480 330506220 661012440