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5511672 = 2333171979
BaseRepresentation
bin10101000001100111111000
3101101000121000
4111001213320
52402333142
6314045000
764564005
oct25014770
911330530
105511672
113125001
121a19760
1311ac95a
14a368ac
1573d14c
hex5419f8

5511672 has 128 divisors (see below), whose sum is σ = 17280000. Its totient is φ = 1617408.

The previous prime is 5511641. The next prime is 5511683. The reversal of 5511672 is 2761155.

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69729 + ... + 69807.

It is an arithmetic number, because the mean of its divisors is an integer number (135000).

Almost surely, 25511672 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 5511672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8640000).

5511672 is an abundant number, since it is smaller than the sum of its proper divisors (11768328).

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

5511672 is a wasteful number, since it uses less digits than its factorization.

5511672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 120 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 5511672 is about 2347.6950398210. The cubic root of 5511672 is about 176.6421958907.

The spelling of 5511672 in words is "five million, five hundred eleven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 24 27 34 36 38 51 54 57 68 72 76 79 102 108 114 136 152 153 158 171 204 216 228 237 306 316 323 342 408 456 459 474 513 612 632 646 684 711 918 948 969 1026 1224 1292 1343 1368 1422 1501 1836 1896 1938 2052 2133 2584 2686 2844 2907 3002 3672 3876 4029 4104 4266 4503 5372 5688 5814 6004 7752 8058 8532 8721 9006 10744 11628 12008 12087 13509 16116 17064 17442 18012 23256 24174 25517 27018 32232 34884 36024 36261 40527 48348 51034 54036 69768 72522 76551 81054 96696 102068 108072 145044 153102 162108 204136 229653 290088 306204 324216 459306 612408 688959 918612 1377918 1837224 2755836 5511672