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1332145520 = 245181197467
BaseRepresentation
bin100111101100110…
…1110110101110000
310102211200000002222
41033121232311300
510212012124040
6340104300212
745004023116
oct11731566560
93384600088
101332145520
11623a63712
12312171668
13182cb16b4
14c8ccbab6
157be3ebb5
hex4f66ed70

1332145520 has 80 divisors (see below), whose sum is σ = 3136861728. Its totient is φ = 526095360.

The previous prime is 1332145519. The next prime is 1332145541. The reversal of 1332145520 is 255412331.

It is a happy number.

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

It is a super-2 number, since 2×13321455202 = 3549223372912140800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1332145520.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2852327 + ... + 2852793.

Almost surely, 21332145520 is an apocalyptic number.

1332145520 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 1332145520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568430864).

1332145520 is an abundant number, since it is smaller than the sum of its proper divisors (1804716208).

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

1332145520 is a wasteful number, since it uses less digits than its factorization.

1332145520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 858 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 1332145520 is about 36498.5687390615. The cubic root of 1332145520 is about 1100.3154797598.

Adding to 1332145520 its reverse (255412331), we get a palindrome (1587557851).

The spelling of 1332145520 in words is "one billion, three hundred thirty-two million, one hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 197 362 394 467 724 788 905 934 985 1448 1576 1810 1868 1970 2335 2896 3152 3620 3736 3940 4670 7240 7472 7880 9340 14480 15760 18680 35657 37360 71314 84527 91999 142628 169054 178285 183998 285256 338108 356570 367996 422635 459995 570512 676216 713140 735992 845270 919990 1352432 1426280 1471984 1690540 1839980 2852560 3381080 3679960 6762160 7359920 16651819 33303638 66607276 83259095 133214552 166518190 266429104 333036380 666072760 1332145520