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1089402000 = 24353315857
BaseRepresentation
bin100000011101110…
…1111010010010000
32210220220100121020
41000323233102100
54212341331000
6300033355440
735665523061
oct10073572220
92726810536
101089402000
11509a36935
12264a08b80
1314490cb8b
14a4980568
1565990ba0
hex40eef490

1089402000 has 160 divisors (see below), whose sum is σ = 3626148864. Its totient is φ = 281088000.

The previous prime is 1089401987. The next prime is 1089402001. The reversal of 1089402000 is 2049801.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1089402001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183072 + ... + 188928.

Almost surely, 21089402000 is an apocalyptic number.

1089402000 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 1089402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1813074432).

1089402000 is an abundant number, since it is smaller than the sum of its proper divisors (2536746864).

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

1089402000 is a wasteful number, since it uses less digits than its factorization.

1089402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5914 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1089402000 is about 33006.0903470859. The cubic root of 1089402000 is about 1028.9542281081.

The spelling of 1089402000 in words is "one billion, eighty-nine million, four hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 40 48 50 60 62 75 80 93 100 120 124 125 150 155 186 200 240 248 250 300 310 372 375 400 465 496 500 600 620 744 750 775 930 1000 1200 1240 1488 1500 1550 1860 2000 2325 2480 3000 3100 3720 3875 4650 5857 6000 6200 7440 7750 9300 11625 11714 12400 15500 17571 18600 23250 23428 29285 31000 35142 37200 46500 46856 58570 62000 70284 87855 93000 93712 117140 140568 146425 175710 181567 186000 234280 281136 292850 351420 363134 439275 468560 544701 585700 702840 726268 732125 878550 907835 1089402 1171400 1405680 1452536 1464250 1757100 1815670 2178804 2196375 2342800 2723505 2905072 2928500 3514200 3631340 4357608 4392750 4539175 5447010 5857000 7028400 7262680 8715216 8785500 9078350 10894020 11714000 13617525 14525360 17571000 18156700 21788040 22695875 27235050 35142000 36313400 43576080 45391750 54470100 68087625 72626800 90783500 108940200 136175250 181567000 217880400 272350500 363134000 544701000 1089402000