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1200989952 = 28323831361
BaseRepresentation
bin100011110010101…
…1010011100000000
310002200212121111100
41013211122130000
54424423134302
6315101214400
741522150301
oct10745323400
93080777440
101200989952
11566a22588
12296261400
13161a7cc56
14b570a7a8
1570683d1c
hex4795a700

1200989952 has 108 divisors (see below), whose sum is σ = 3474342144. Its totient is φ = 398991360.

The previous prime is 1200989947. The next prime is 1200989969. The reversal of 1200989952 is 2599890021.

It is a junction number, because it is equal to n+sod(n) for n = 1200989898 and 1200989907.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 881752 + ... + 883112.

Almost surely, 21200989952 is an apocalyptic number.

1200989952 is a gapful number since it is divisible by the number (12) 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 1200989952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1737171072).

1200989952 is an abundant number, since it is smaller than the sum of its proper divisors (2273352192).

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

1200989952 is a wasteful number, since it uses less digits than its factorization.

1200989952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1749 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 1200989952 is about 34655.3019320277. The cubic root of 1200989952 is about 1062.9507058014.

The spelling of 1200989952 in words is "one billion, two hundred million, nine hundred eighty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 383 384 576 766 768 1149 1152 1361 1532 2298 2304 2722 3064 3447 4083 4596 5444 6128 6894 8166 9192 10888 12249 12256 13788 16332 18384 21776 24498 24512 27576 32664 36768 43552 48996 49024 55152 65328 73536 87104 97992 98048 110304 130656 147072 174208 195984 220608 261312 294144 348416 391968 441216 521263 522624 783936 882432 1042526 1045248 1563789 1567872 2085052 3127578 3135744 4170104 4691367 6255156 8340208 9382734 12510312 16680416 18765468 25020624 33360832 37530936 50041248 66721664 75061872 100082496 133443328 150123744 200164992 300247488 400329984 600494976 1200989952