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1355669520 = 2435103173317
BaseRepresentation
bin101000011001101…
…1110000000010000
310111110221010222020
41100303132000100
510234022411040
6342304411440
745411000162
oct12063360020
93443833866
101355669520
11636270637
1231a016b80
13187b29b1a
14cc092932
157e039cd0
hex50cde010

1355669520 has 160 divisors (see below), whose sum is σ = 4281368832. Its totient is φ = 354809856.

The previous prime is 1355669509. The next prime is 1355669521. The reversal of 1355669520 is 259665531.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1355669521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4276402 + ... + 4276718.

Almost surely, 21355669520 is an apocalyptic number.

1355669520 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 1355669520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2140684416).

1355669520 is an abundant number, since it is smaller than the sum of its proper divisors (2925699312).

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

1355669520 is a wasteful number, since it uses less digits than its factorization.

1355669520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 1355669520 is about 36819.4177031631. The cubic root of 1355669520 is about 1106.7544510291.

The spelling of 1355669520 in words is "one billion, three hundred fifty-five million, six hundred sixty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 103 120 173 206 240 309 317 346 412 515 519 618 634 692 824 865 951 1030 1038 1236 1268 1384 1545 1585 1648 1730 1902 2060 2076 2472 2536 2595 2768 3090 3170 3460 3804 4120 4152 4755 4944 5072 5190 6180 6340 6920 7608 8240 8304 9510 10380 12360 12680 13840 15216 17819 19020 20760 24720 25360 32651 35638 38040 41520 53457 54841 65302 71276 76080 89095 97953 106914 109682 130604 142552 163255 164523 178190 195906 213828 219364 261208 267285 274205 285104 326510 329046 356380 391812 427656 438728 489765 522416 534570 548410 653020 658092 712760 783624 822615 855312 877456 979530 1069140 1096820 1306040 1316184 1425520 1567248 1645230 1959060 2138280 2193640 2612080 2632368 3290460 3918120 4276560 4387280 5648623 6580920 7836240 11297246 13161840 16945869 22594492 28243115 33891738 45188984 56486230 67783476 84729345 90377968 112972460 135566952 169458690 225944920 271133904 338917380 451889840 677834760 1355669520