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2026687136 = 251923373917
BaseRepresentation
bin111100011001100…
…1100101010100000
312020020120101002112
41320303030222200
513122312442021
6533034534452
7101136361565
oct17063145240
95206511075
102026687136
11950015051
12486897428
13263b5c476
1415324486c
15bcdd4d5b
hex78cccaa0

2026687136 has 96 divisors (see below), whose sum is σ = 4502252160. Its totient is φ = 893223936.

The previous prime is 2026687133. The next prime is 2026687151. The reversal of 2026687136 is 6317866202.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2026687093 and 2026687102.

It is not an unprimeable number, because it can be changed into a prime (2026687133) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 515450 + ... + 519366.

It is an arithmetic number, because the mean of its divisors is an integer number (46898460).

Almost surely, 22026687136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2026687136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2251126080).

2026687136 is an abundant number, since it is smaller than the sum of its proper divisors (2475565024).

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

2026687136 is a wasteful number, since it uses less digits than its factorization.

2026687136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 3998 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 2026687136 is about 45018.7420526163. The cubic root of 2026687136 is about 1265.5002548927.

The spelling of 2026687136 in words is "two billion, twenty-six million, six hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 23 32 37 38 46 74 76 92 148 152 184 296 304 368 437 592 608 703 736 851 874 1184 1406 1702 1748 2812 3404 3496 3917 5624 6808 6992 7834 11248 13616 13984 15668 16169 22496 27232 31336 32338 62672 64676 74423 90091 125344 129352 144929 148846 180182 258704 289858 297692 360364 517408 579716 595384 720728 1159432 1190768 1441456 1711729 2318864 2381536 2753651 2882912 3333367 3423458 4637728 5507302 6666734 6846916 11014604 13333468 13693832 22029208 26666936 27387664 44058416 53333872 54775328 63333973 88116832 106667744 126667946 253335892 506671784 1013343568 2026687136