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2087403520 = 214583307
BaseRepresentation
bin111110001101011…
…0100000000000000
312101110211002022111
41330122310000000
513233333403040
6543044145104
7102504431356
oct17432640000
95343732274
102087403520
11981315184
124a3098194
132735ca517
1415b32b7d6
15c33c9dea
hex7c6b4000

2087403520 has 120 divisors (see below), whose sum is σ = 5086486944. Its totient is φ = 822214656.

The previous prime is 2087403511. The next prime is 2087403523. The reversal of 2087403520 is 253047802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087403523) 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 7 ways as a sum of consecutive naturals, for example, 6799207 + ... + 6799513.

Almost surely, 22087403520 is an apocalyptic number.

2087403520 is a gapful number since it is divisible by the number (20) 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 2087403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543243472).

2087403520 is an abundant number, since it is smaller than the sum of its proper divisors (2999083424).

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

2087403520 is an frugal number, since it uses more digits than its factorization.

2087403520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 31.

The square root of 2087403520 is about 45688.1113638986. Note that the first 3 decimals coincide. The cubic root of 2087403520 is about 1278.0135855720.

The spelling of 2087403520 in words is "two billion, eighty-seven million, four hundred three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 83 128 160 166 256 307 320 332 415 512 614 640 664 830 1024 1228 1280 1328 1535 1660 2048 2456 2560 2656 3070 3320 4096 4912 5120 5312 6140 6640 8192 9824 10240 10624 12280 13280 16384 19648 20480 21248 24560 25481 26560 39296 40960 42496 49120 50962 53120 78592 81920 84992 98240 101924 106240 127405 157184 169984 196480 203848 212480 254810 314368 339968 392960 407696 424960 509620 628736 679936 785920 815392 849920 1019240 1257472 1359872 1571840 1630784 1699840 2038480 2514944 3143680 3261568 3399680 4076960 5029888 6287360 6523136 6799360 8153920 12574720 13046272 16307840 25149440 26092544 32615680 52185088 65231360 104370176 130462720 208740352 260925440 417480704 521850880 1043701760 2087403520