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1038421080 = 233355091889
BaseRepresentation
bin111101111001010…
…000110001011000
32200100222020221000
4331321100301120
54111313433310
6251012545000
734506301464
oct7571206130
92610866830
101038421080
11493186144
1224b922160
131371a0158
149bcad4a4
15612704c0
hex3de50c58

1038421080 has 128 divisors (see below), whose sum is σ = 3470040000. Its totient is φ = 276221952.

The previous prime is 1038421057. The next prime is 1038421099. The reversal of 1038421080 is 801248301.

1038421080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 548776 + ... + 550664.

Almost surely, 21038421080 is an apocalyptic number.

1038421080 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 1038421080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1735020000).

1038421080 is an abundant number, since it is smaller than the sum of its proper divisors (2431618920).

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

1038421080 is a wasteful number, since it uses less digits than its factorization.

1038421080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2418 (or 2408 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1038421080 is about 32224.5415793615. The cubic root of 1038421080 is about 1012.6464205256.

Adding to 1038421080 its reverse (801248301), we get a palindrome (1839669381).

The spelling of 1038421080 in words is "one billion, thirty-eight million, four hundred twenty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 509 540 1018 1080 1527 1889 2036 2545 3054 3778 4072 4581 5090 5667 6108 7556 7635 9162 9445 10180 11334 12216 13743 15112 15270 17001 18324 18890 20360 22668 22905 27486 28335 30540 34002 36648 37780 45336 45810 51003 54972 56670 61080 68004 68715 75560 85005 91620 102006 109944 113340 136008 137430 170010 183240 204012 226680 255015 274860 340020 408024 510030 549720 680040 961501 1020060 1923002 2040120 2884503 3846004 4807505 5769006 7692008 8653509 9615010 11538012 14422515 17307018 19230020 23076024 25960527 28845030 34614036 38460040 43267545 51921054 57690060 69228072 86535090 103842108 115380120 129802635 173070180 207684216 259605270 346140360 519210540 1038421080