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1485896960 = 2853137447
BaseRepresentation
bin101100010010000…
…1111110100000000
310211112222101102202
41120210033310000
511020342200320
6403235532332
751551626052
oct13044176400
93745871382
101485896960
116a2828419
1235575a0a8
131a8ac4c92
141014b18d2
158a6b0b75
hex5890fd00

1485896960 has 72 divisors (see below), whose sum is σ = 3674098176. Its totient is φ = 575170560.

The previous prime is 1485896953. The next prime is 1485896999. The reversal of 1485896960 is 696985841.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1485896896 and 1485896905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20957 + ... + 58403.

Almost surely, 21485896960 is an apocalyptic number.

1485896960 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 1485896960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1837049088).

1485896960 is an abundant number, since it is smaller than the sum of its proper divisors (2188201216).

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

1485896960 is an equidigital number, since it uses as much as digits as its factorization.

1485896960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37499 (or 37485 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 56.

The square root of 1485896960 is about 38547.3340193586. The cubic root of 1485896960 is about 1141.1153954464.

The spelling of 1485896960 in words is "one billion, four hundred eighty-five million, eight hundred ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 256 310 320 496 620 640 992 1240 1280 1984 2480 3968 4960 7936 9920 19840 37447 39680 74894 149788 187235 299576 374470 599152 748940 1160857 1198304 1497880 2321714 2396608 2995760 4643428 4793216 5804285 5991520 9286856 9586432 11608570 11983040 18573712 23217140 23966080 37147424 46434280 47932160 74294848 92868560 148589696 185737120 297179392 371474240 742948480 1485896960