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1369471872 = 27329313967
BaseRepresentation
bin101000110100000…
…0111101110000000
310112102220101020110
41101220013232000
510301041044442
6343520311320
745636214236
oct12150075600
93472811213
101369471872
1164303853a
12322772540
1318a9502b2
14cdc46956
158036469c
hex51a07b80

1369471872 has 128 divisors (see below), whose sum is σ = 3885465600. Its totient is φ = 426424320.

The previous prime is 1369471867. The next prime is 1369471879. The reversal of 1369471872 is 2781749631.

It is a happy number.

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 (48).

Its product of digits (508032) is a multiple of the sum of its prime divisors (4032).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1369471879) 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, 343233 + ... + 347199.

It is an arithmetic number, because the mean of its divisors is an integer number (30355200).

Almost surely, 21369471872 is an apocalyptic number.

1369471872 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 1369471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942732800).

1369471872 is an abundant number, since it is smaller than the sum of its proper divisors (2515993728).

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

1369471872 is a wasteful number, since it uses less digits than its factorization.

1369471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4044 (or 4032 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 1369471872 is about 37006.3760992616. The cubic root of 1369471872 is about 1110.4978077161.

The spelling of 1369471872 in words is "one billion, three hundred sixty-nine million, four hundred seventy-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 31 32 48 58 62 64 87 93 96 116 124 128 174 186 192 232 248 348 372 384 464 496 696 744 899 928 992 1392 1488 1798 1856 1984 2697 2784 2976 3596 3712 3967 3968 5394 5568 5952 7192 7934 10788 11136 11901 11904 14384 15868 21576 23802 28768 31736 43152 47604 57536 63472 86304 95208 115043 115072 122977 126944 172608 190416 230086 245954 253888 345129 345216 368931 380832 460172 491908 507776 690258 737862 761664 920344 983816 1380516 1475724 1523328 1840688 1967632 2761032 2951448 3566333 3681376 3935264 5522064 5902896 7132666 7362752 7870528 10698999 11044128 11805792 14265332 14725504 15741056 21397998 22088256 23611584 28530664 42795996 44176512 47223168 57061328 85591992 114122656 171183984 228245312 342367968 456490624 684735936 1369471872