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1087271424 = 2937971
BaseRepresentation
bin100000011001110…
…0111001000000000
32210202220010000000
41000303213020000
54211320141144
6255520000000
735641440351
oct10063471000
92722803000
101087271424
11508811128
12264160000
13144345195
14a4587d28
15656be769
hex40ce7200

1087271424 has 160 divisors (see below), whose sum is σ = 3261487680. Its totient is φ = 362050560.

The previous prime is 1087271407. The next prime is 1087271429. The reversal of 1087271424 is 4241727801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1087271429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1119259 + ... + 1120229.

It is an arithmetic number, because the mean of its divisors is an integer number (20384298).

Almost surely, 21087271424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1087271424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630743840).

1087271424 is an abundant number, since it is smaller than the sum of its proper divisors (2174216256).

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

1087271424 is an frugal number, since it uses more digits than its factorization.

1087271424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1087271424 is about 32973.7990531877. The cubic root of 1087271424 is about 1028.2830048444.

The spelling of 1087271424 in words is "one billion, eighty-seven million, two hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 971 972 1152 1296 1458 1536 1728 1942 1944 2187 2304 2592 2913 2916 3456 3884 3888 4374 4608 5184 5826 5832 6912 7768 7776 8739 8748 10368 11652 11664 13824 15536 15552 17478 17496 20736 23304 23328 26217 31072 31104 34956 34992 41472 46608 46656 52434 62144 62208 69912 69984 78651 93216 93312 104868 124288 124416 139824 139968 157302 186432 186624 209736 235953 248576 279648 279936 314604 372864 373248 419472 471906 497152 559296 559872 629208 707859 745728 838944 943812 1118592 1119744 1258416 1415718 1491456 1677888 1887624 2123577 2237184 2516832 2831436 3355776 3775248 4247154 4474368 5033664 5662872 6711552 7550496 8494308 10067328 11325744 13423104 15100992 16988616 20134656 22651488 30201984 33977232 40269312 45302976 60403968 67954464 90605952 120807936 135908928 181211904 271817856 362423808 543635712 1087271424