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1152352240 = 245139711423
BaseRepresentation
bin100010010101111…
…0111111111110000
32222022100120002121
41010223313333300
54330000232430
6310202524024
740361555344
oct10453677760
92868316077
101152352240
11541522326
12281b06614
13154980940
14ad089624
156b277a7a
hex44af7ff0

1152352240 has 80 divisors (see below), whose sum is σ = 2915313408. Its totient is φ = 421060608.

The previous prime is 1152352219. The next prime is 1152352249. The reversal of 1152352240 is 422532511.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1152352249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95169 + ... + 106591.

Almost surely, 21152352240 is an apocalyptic number.

1152352240 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 1152352240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457656704).

1152352240 is an abundant number, since it is smaller than the sum of its proper divisors (1762961168).

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

1152352240 is a wasteful number, since it uses less digits than its factorization.

1152352240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11546 (or 11540 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1152352240 is about 33946.3140856264. The cubic root of 1152352240 is about 1048.4033905398.

Adding to 1152352240 its reverse (422532511), we get a palindrome (1574884751).

The spelling of 1152352240 in words is "one billion, one hundred fifty-two million, three hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 97 104 130 194 208 260 388 485 520 776 970 1040 1261 1552 1940 2522 3880 5044 6305 7760 10088 11423 12610 20176 22846 25220 45692 50440 57115 91384 100880 114230 148499 182768 228460 296998 456920 593996 742495 913840 1108031 1187992 1484990 2216062 2375984 2969980 4432124 5540155 5939960 8864248 11080310 11879920 14404403 17728496 22160620 28808806 44321240 57617612 72022015 88642480 115235224 144044030 230470448 288088060 576176120 1152352240