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1145234240 = 26517316791
BaseRepresentation
bin100010001000010…
…1110001101000000
32221210221221000222
41010100232031000
54321134443430
6305350202212
740244221223
oct10420561500
92853857028
101145234240
11538500487
1227b653368
1315335aac7
14ac1555ba
156a81d9e5
hex4442e340

1145234240 has 112 divisors (see below), whose sum is σ = 2981090304. Its totient is φ = 417177600.

The previous prime is 1145234213. The next prime is 1145234243. The reversal of 1145234240 is 424325411.

It is a super-2 number, since 2×11452342402 = 2623122928936755200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145234243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165245 + ... + 172035.

Almost surely, 21145234240 is an apocalyptic number.

1145234240 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 1145234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490545152).

1145234240 is an abundant number, since it is smaller than the sum of its proper divisors (1835856064).

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

1145234240 is a wasteful number, since it uses less digits than its factorization.

1145234240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856 (or 6846 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 1145234240 is about 33841.3096673282. The cubic root of 1145234240 is about 1046.2402922532.

Adding to 1145234240 its reverse (424325411), we get a palindrome (1569559651).

The spelling of 1145234240 in words is "one billion, one hundred forty-five million, two hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 32 34 40 62 64 68 80 85 124 136 155 160 170 248 272 310 320 340 496 527 544 620 680 992 1054 1088 1240 1360 1984 2108 2480 2635 2720 4216 4960 5270 5440 6791 8432 9920 10540 13582 16864 21080 27164 33728 33955 42160 54328 67910 84320 108656 115447 135820 168640 210521 217312 230894 271640 421042 434624 461788 543280 577235 842084 923576 1052605 1086560 1154470 1684168 1847152 2105210 2173120 2308940 3368336 3578857 3694304 4210420 4617880 6736672 7157714 7388608 8420840 9235760 13473344 14315428 16841680 17894285 18471520 28630856 33683360 35788570 36943040 57261712 67366720 71577140 114523424 143154280 229046848 286308560 572617120 1145234240