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961413570 = 2335132311909
BaseRepresentation
bin111001010011100…
…000000111000010
32111000001212111000
4321103200013002
53432110213240
6235222232430
732552611005
oct7123400702
92430055430
10961413570
11453769277
12229b85716
13124249b90
149198553c
155960d430
hex394e01c2

961413570 has 128 divisors (see below), whose sum is σ = 2881267200. Its totient is φ = 226347264.

The previous prime is 961413493. The next prime is 961413581. The reversal of 961413570 is 75314169.

961413570 is a `hidden beast` number, since 9 + 614 + 1 + 35 + 7 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74776 + ... + 86684.

It is an arithmetic number, because the mean of its divisors is an integer number (22509900).

Almost surely, 2961413570 is an apocalyptic number.

961413570 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 961413570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440633600).

961413570 is an abundant number, since it is smaller than the sum of its proper divisors (1919853630).

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

961413570 is a wasteful number, since it uses less digits than its factorization.

961413570 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11961 (or 11955 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 961413570 is about 31006.6697663583. The cubic root of 961413570 is about 986.9687816365.

The spelling of 961413570 in words is "nine hundred sixty-one million, four hundred thirteen thousand, five hundred seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 23 26 27 30 39 45 46 54 65 69 78 90 115 117 130 135 138 195 207 230 234 270 299 345 351 390 414 585 598 621 690 702 897 1035 1170 1242 1495 1755 1794 2070 2691 2990 3105 3510 4485 5382 6210 8073 8970 11909 13455 16146 23818 26910 35727 40365 59545 71454 80730 107181 119090 154817 178635 214362 273907 309634 321543 357270 464451 535905 547814 643086 774085 821721 928902 1071810 1369535 1393353 1548170 1607715 1643442 2322255 2465163 2739070 2786706 3215430 3560791 4108605 4180059 4644510 4930326 6966765 7121582 7395489 8217210 8360118 10682373 12325815 13933530 14790978 17803955 20900295 21364746 24651630 32047119 35607910 36977445 41800590 53411865 64094238 73954890 96141357 106823730 160235595 192282714 320471190 480706785 961413570