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1353243520 = 27517612039
BaseRepresentation
bin101000010101000…
…1101101110000000
310111022100220010101
41100222031232000
510232412243040
6342140412144
745351244246
oct12052155600
93438326111
101353243520
11634963982
12319247054
1318748a815
14cba20796
157dc0b09a
hex50a8db80

1353243520 has 128 divisors (see below), whose sum is σ = 3483259200. Its totient is φ = 500858880.

The previous prime is 1353243511. The next prime is 1353243533. The reversal of 1353243520 is 253423531.

It is a tau number, because it is divible by the number of its divisors (128).

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, 662661 + ... + 664699.

Almost surely, 21353243520 is an apocalyptic number.

1353243520 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 1353243520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1741629600).

1353243520 is an abundant number, since it is smaller than the sum of its proper divisors (2130015680).

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

1353243520 is a wasteful number, since it uses less digits than its factorization.

1353243520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 28.

The square root of 1353243520 is about 36786.4583780499. The cubic root of 1353243520 is about 1106.0938698018.

The spelling of 1353243520 in words is "one billion, three hundred fifty-three million, two hundred forty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 61 64 68 80 85 122 128 136 160 170 244 272 305 320 340 488 544 610 640 680 976 1037 1088 1220 1360 1952 2039 2074 2176 2440 2720 3904 4078 4148 4880 5185 5440 7808 8156 8296 9760 10195 10370 10880 16312 16592 19520 20390 20740 32624 33184 34663 39040 40780 41480 65248 66368 69326 81560 82960 124379 130496 132736 138652 163120 165920 173315 248758 260992 277304 326240 331840 346630 497516 554608 621895 652480 663680 693260 995032 1109216 1243790 1304960 1386520 1990064 2114443 2218432 2487580 2773040 3980128 4228886 4436864 4975160 5546080 7960256 8457772 9950320 10572215 11092160 15920512 16915544 19900640 21144430 22184320 33831088 39801280 42288860 67662176 79602560 84577720 135324352 169155440 270648704 338310880 676621760 1353243520