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89123840 = 2105132103
BaseRepresentation
bin1010100111111…
…10110000000000
320012200221220222
411103332300000
5140303430330
612502122212
72131353161
oct523766000
9205627828
1089123840
1146343073
1225a20368
1315606200
14bb9d768
157c570e5
hex54fec00

89123840 has 132 divisors (see below), whose sum is σ = 233751024. Its totient is φ = 32587776.

The previous prime is 89123833. The next prime is 89123849. The reversal of 89123840 is 4832198.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89123840.

It is not an unprimeable number, because it can be changed into a prime (89123849) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 865229 + ... + 865331.

Almost surely, 289123840 is an apocalyptic number.

89123840 is a gapful number since it is divisible by the number (80) 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 89123840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116875512).

89123840 is an abundant number, since it is smaller than the sum of its proper divisors (144627184).

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

89123840 is a wasteful number, since it uses less digits than its factorization.

89123840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 89123840 is about 9440.5423573013. The cubic root of 89123840 is about 446.6814974903.

The spelling of 89123840 in words is "eighty-nine million, one hundred twenty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 103 104 128 130 160 169 206 208 256 260 320 338 412 416 512 515 520 640 676 824 832 845 1024 1030 1040 1280 1339 1352 1648 1664 1690 2060 2080 2560 2678 2704 3296 3328 3380 4120 4160 5120 5356 5408 6592 6656 6695 6760 8240 8320 10712 10816 13184 13312 13390 13520 16480 16640 17407 21424 21632 26368 26780 27040 32960 33280 34814 42848 43264 52736 53560 54080 65920 66560 69628 85696 86528 87035 105472 107120 108160 131840 139256 171392 173056 174070 214240 216320 263680 278512 342784 348140 428480 432640 527360 557024 685568 696280 856960 865280 1114048 1371136 1392560 1713920 2228096 2785120 3427840 4456192 5570240 6855680 8912384 11140480 17824768 22280960 44561920 89123840