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1553031040 = 27511593739
BaseRepresentation
bin101110010010001…
…0101111110000000
311000020022011002011
41130210111332000
511140033443130
6414034502304
753325355201
oct13444257600
94006264064
101553031040
11727711230
12374134994
131b999c1a2
1410a3895a8
159152252a
hex5c915f80

1553031040 has 128 divisors (see below), whose sum is σ = 4119984000. Its totient is φ = 555018240.

The previous prime is 1553031017. The next prime is 1553031061. The reversal of 1553031040 is 401303551.

It is a happy number.

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

It is a super-2 number, since 2×15530310402 = 4823810822406963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 413491 + ... + 417229.

It is an arithmetic number, because the mean of its divisors is an integer number (32187375).

Almost surely, 21553031040 is an apocalyptic number.

1553031040 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 1553031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059992000).

1553031040 is an abundant number, since it is smaller than the sum of its proper divisors (2566952960).

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

1553031040 is a wasteful number, since it uses less digits than its factorization.

1553031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3828 (or 3816 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1553031040 is about 39408.5148159633. The cubic root of 1553031040 is about 1158.0484029551.

Adding to 1553031040 its reverse (401303551), we get a palindrome (1954334591).

The spelling of 1553031040 in words is "one billion, five hundred fifty-three million, thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 59 64 80 88 110 118 128 160 176 220 236 295 320 352 440 472 590 640 649 704 880 944 1180 1298 1408 1760 1888 2360 2596 3245 3520 3739 3776 4720 5192 6490 7040 7478 7552 9440 10384 12980 14956 18695 18880 20768 25960 29912 37390 37760 41129 41536 51920 59824 74780 82258 83072 103840 119648 149560 164516 205645 207680 220601 239296 299120 329032 411290 415360 441202 478592 598240 658064 822580 882404 1103005 1196480 1316128 1645160 1764808 2206010 2392960 2426611 2632256 3290320 3529616 4412020 4853222 5264512 6580640 7059232 8824040 9706444 12133055 13161280 14118464 17648080 19412888 24266110 26322560 28236928 35296160 38825776 48532220 70592320 77651552 97064440 141184640 155303104 194128880 310606208 388257760 776515520 1553031040