Search a number
-
+
1040245360 = 245711473593
BaseRepresentation
bin111110000000001…
…110001001110000
32200111101221100221
4332000032021300
54112300322420
6251120022424
734530640210
oct7600161160
92614357327
101040245360
11494211810
12250461a14
1313768b5cb
149c226240
15614d0caa
hex3e00e270

1040245360 has 160 divisors (see below), whose sum is σ = 3080374272. Its totient is φ = 317245440.

The previous prime is 1040245321. The next prime is 1040245361. The reversal of 1040245360 is 635420401.

It is a super-2 number, since 2×10402453602 = 2164220818003059200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040245361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287724 + ... + 291316.

Almost surely, 21040245360 is an apocalyptic number.

1040245360 is a gapful number since it is divisible by the number (10) 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 1040245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540187136).

1040245360 is an abundant number, since it is smaller than the sum of its proper divisors (2040128912).

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

1040245360 is a wasteful number, since it uses less digits than its factorization.

1040245360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3671 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1040245360 is about 32252.8349141591. The cubic root of 1040245360 is about 1013.2390734499.

Adding to 1040245360 its reverse (635420401), we get a palindrome (1675665761).

The spelling of 1040245360 in words is "one billion, forty million, two hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 47 55 56 70 77 80 88 94 110 112 140 154 176 188 220 235 280 308 329 376 385 440 470 517 560 616 658 752 770 880 940 1034 1232 1316 1540 1645 1880 2068 2585 2632 3080 3290 3593 3619 3760 4136 5170 5264 6160 6580 7186 7238 8272 10340 13160 14372 14476 17965 18095 20680 25151 26320 28744 28952 35930 36190 39523 41360 50302 57488 57904 71860 72380 79046 100604 125755 143720 144760 158092 168871 197615 201208 251510 276661 287440 289520 316184 337742 395230 402416 503020 553322 632368 675484 790460 844355 1006040 1106644 1182097 1350968 1383305 1580920 1688710 1857581 2012080 2213288 2364194 2701936 2766610 3161840 3377420 3715162 4426576 4728388 5533220 5910485 6754840 7430324 9287905 9456776 11066440 11820970 13003067 13509680 14860648 18575810 18913552 22132880 23641940 26006134 29721296 37151620 47283880 52012268 65015335 74303240 94567760 104024536 130030670 148606480 208049072 260061340 520122680 1040245360