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1373904 = 243272947
BaseRepresentation
bin101001111011011010000
32120210122100
411033123100
5322431104
645240400
714451360
oct5173320
92523570
101373904
11859264
12563100
1339147c
1427a9a0
151c2139
hex14f6d0

1373904 has 120 divisors (see below), whose sum is σ = 4642560. Its totient is φ = 370944.

The previous prime is 1373891. The next prime is 1373959. The reversal of 1373904 is 4093731.

It is a super-2 number, since 2×13739042 = 3775224402432, which contains 22 as substring.

It is a cake number, because a cake can be divided into 1373904 parts by 202 planar cuts.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29209 + ... + 29255.

It is an arithmetic number, because the mean of its divisors is an integer number (38688).

21373904 is an apocalyptic number.

1373904 is a gapful number since it is divisible by the number (14) 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 1373904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321280).

1373904 is an abundant number, since it is smaller than the sum of its proper divisors (3268656).

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

1373904 is a wasteful number, since it uses less digits than its factorization.

1373904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 1373904 is about 1172.1365108212. The cubic root of 1373904 is about 111.1694514364.

The spelling of 1373904 in words is "one million, three hundred seventy-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 29 36 42 47 48 56 58 63 72 84 87 94 112 116 126 141 144 168 174 188 203 232 252 261 282 329 336 348 376 406 423 464 504 522 564 609 658 696 752 812 846 987 1008 1044 1128 1218 1316 1363 1392 1624 1692 1827 1974 2088 2256 2436 2632 2726 2961 3248 3384 3654 3948 4089 4176 4872 5264 5452 5922 6768 7308 7896 8178 9541 9744 10904 11844 12267 14616 15792 16356 19082 21808 23688 24534 28623 29232 32712 38164 47376 49068 57246 65424 76328 85869 98136 114492 152656 171738 196272 228984 343476 457968 686952 1373904