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1425135360 = 28351133739
BaseRepresentation
bin101010011110001…
…1101011100000000
310200022122101012010
41110330131130000
510404313312420
6353225332520
750213310405
oct12474353400
93608571163
101425135360
116714a7320
12339337140
1319933c47c
14d73b62ac
15851ac4e0
hex54f1d700

1425135360 has 144 divisors (see below), whose sum is σ = 4965448320. Its totient is φ = 345477120.

The previous prime is 1425135331. The next prime is 1425135367. The reversal of 1425135360 is 635315241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1425135367) 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, 25371 + ... + 59109.

It is an arithmetic number, because the mean of its divisors is an integer number (34482280).

Almost surely, 21425135360 is an apocalyptic number.

1425135360 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 1425135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482724160).

1425135360 is an abundant number, since it is smaller than the sum of its proper divisors (3540312960).

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

1425135360 is a wasteful number, since it uses less digits than its factorization.

1425135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33774 (or 33760 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 1425135360 is about 37750.9650207779. The cubic root of 1425135360 is about 1125.3441870330.

The spelling of 1425135360 in words is "one billion, four hundred twenty-five million, one hundred thirty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3520 3840 4224 5280 7040 8448 10560 14080 21120 33739 42240 67478 101217 134956 168695 202434 269912 337390 371129 404868 506085 539824 674780 742258 809736 1012170 1079648 1113387 1349560 1484516 1619472 1855645 2024340 2159296 2226774 2699120 2969032 3238944 3711290 4048680 4318592 4453548 5398240 5566935 5938064 6477888 7422580 8097360 8637184 8907096 10796480 11133870 11876128 12955776 14845160 16194720 17814192 21592960 22267740 23752256 25911552 29690320 32389440 35628384 43185920 44535480 47504512 59380640 64778880 71256768 89070960 95009024 118761280 129557760 142513536 178141920 237522560 285027072 356283840 475045120 712567680 1425135360