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1132423040 = 27571714869
BaseRepresentation
bin100001101111111…
…0110011110000000
32220220212001101002
41003133312132000
54304400014130
6304211431132
740030302620
oct10337663600
92826761332
101132423040
11531250211
122772b54a8
131507c3808
14aa57c880
156963cb45
hex437f6780

1132423040 has 128 divisors (see below), whose sum is σ = 3276158400. Its totient is φ = 365395968.

The previous prime is 1132423031. The next prime is 1132423067. The reversal of 1132423040 is 403242311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68726 + ... + 83594.

Almost surely, 21132423040 is an apocalyptic number.

1132423040 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 1132423040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1638079200).

1132423040 is an abundant number, since it is smaller than the sum of its proper divisors (2143735360).

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

1132423040 is a wasteful number, since it uses less digits than its factorization.

1132423040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14912 (or 14900 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 1132423040 is about 33651.4938747153. The cubic root of 1132423040 is about 1042.3243869529.

Adding to 1132423040 its reverse (403242311), we get a palindrome (1535665351).

It can be divided in two parts, 113242 and 3040, that multiplied together give a triangular number (344255680 = T26239).

The spelling of 1132423040 in words is "one billion, one hundred thirty-two million, four hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 272 280 320 340 448 476 544 560 595 640 680 896 952 1088 1120 1190 1360 1904 2176 2240 2380 2720 3808 4480 4760 5440 7616 9520 10880 14869 15232 19040 29738 38080 59476 74345 76160 104083 118952 148690 208166 237904 252773 297380 416332 475808 505546 520415 594760 832664 951616 1011092 1040830 1189520 1263865 1665328 1769411 1903232 2022184 2081660 2379040 2527730 3330656 3538822 4044368 4163320 4758080 5055460 6661312 7077644 8088736 8326640 8847055 9516160 10110920 13322624 14155288 16177472 16653280 17694110 20221840 28310576 32354944 33306560 35388220 40443680 56621152 66613120 70776440 80887360 113242304 141552880 161774720 226484608 283105760 566211520 1132423040