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1055446128 = 2432111096113
BaseRepresentation
bin111110111010001…
…101010001110000
32201120000012220100
4332322031101300
54130143234003
6252421512400
735104100262
oct7672152160
92646005810
101055446128
114a1854330
12255572700
1313a881449
14a0261b32
15629d4ba3
hex3ee8d470

1055446128 has 120 divisors (see below), whose sum is σ = 3252403440. Its totient is φ = 316846080.

The previous prime is 1055446079. The next prime is 1055446151. The reversal of 1055446128 is 8216445501.

It is a happy number.

1055446128 is a `hidden beast` number, since 105 + 544 + 6 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×10554461282 = 2227933058220384768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1055446092 and 1055446101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169600 + ... + 175712.

It is an arithmetic number, because the mean of its divisors is an integer number (27103362).

Almost surely, 21055446128 is an apocalyptic number.

1055446128 is a gapful number since it is divisible by the number (18) 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 1055446128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626201720).

1055446128 is an abundant number, since it is smaller than the sum of its proper divisors (2196957312).

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

1055446128 is a wasteful number, since it uses less digits than its factorization.

1055446128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6247 (or 6238 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1055446128 is about 32487.6303845017. The cubic root of 1055446128 is about 1018.1506049994.

The spelling of 1055446128 in words is "one billion, fifty-five million, four hundred forty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 109 132 144 176 198 218 264 327 396 436 528 654 792 872 981 1199 1308 1584 1744 1962 2398 2616 3597 3924 4796 5232 6113 7194 7848 9592 10791 12226 14388 15696 18339 19184 21582 24452 28776 36678 43164 48904 55017 57552 67243 73356 86328 97808 110034 134486 146712 172656 201729 220068 268972 293424 403458 440136 537944 605187 666317 806916 880272 1075888 1210374 1332634 1613832 1998951 2420748 2665268 3227664 3997902 4841496 5330536 5996853 7329487 7995804 9682992 10661072 11993706 14658974 15991608 21988461 23987412 29317948 31983216 43976922 47974824 58635896 65965383 87953844 95949648 117271792 131930766 175907688 263861532 351815376 527723064 1055446128