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2025435340 = 2251933116103
BaseRepresentation
bin111100010111001…
…1011000011001100
312020011012202221201
41320232123003030
513122002412330
6532552035244
7101122626205
oct17056330314
95204182851
102025435340
1194a33a605
12486392b24
13263811766
14152dda5ac
15bcc38eca
hex78b9b0cc

2025435340 has 48 divisors (see below), whose sum is σ = 4491083520. Its totient is φ = 765167040.

The previous prime is 2025435337. The next prime is 2025435341. The reversal of 2025435340 is 435345202.

It is a junction number, because it is equal to n+sod(n) for n = 2025435299 and 2025435308.

It is not an unprimeable number, because it can be changed into a prime (2025435341) 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, 117729 + ... + 133831.

It is an arithmetic number, because the mean of its divisors is an integer number (93564240).

Almost surely, 22025435340 is an apocalyptic number.

2025435340 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 2025435340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245541760).

2025435340 is an abundant number, since it is smaller than the sum of its proper divisors (2465648180).

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

2025435340 is a wasteful number, since it uses less digits than its factorization.

2025435340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16462 (or 16460 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 28.

The square root of 2025435340 is about 45004.8368511652. The cubic root of 2025435340 is about 1265.2396531791.

The spelling of 2025435340 in words is "two billion, twenty-five million, four hundred thirty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 331 380 662 1324 1655 3310 6289 6620 12578 16103 25156 31445 32206 62890 64412 80515 125780 161030 305957 322060 611914 1223828 1529785 3059570 5330093 6119140 10660186 21320372 26650465 53300930 101271767 106601860 202543534 405087068 506358835 1012717670 2025435340