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145978112 = 28729532
BaseRepresentation
bin10001011001101…
…11001100000000
3101011200110022202
420230313030000
5244332244422
622252452332
73421536110
oct1054671400
9334613282
10145978112
1175445575
1240a7a0a8
13243213a7
141555d040
15cc37b92
hex8b37300

145978112 has 108 divisors (see below), whose sum is σ = 351118320. Its totient is φ = 59265024.

The previous prime is 145978109. The next prime is 145978117. The reversal of 145978112 is 211879541.

It is not an unprimeable number, because it can be changed into a prime (145978117) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2754278 + ... + 2754330.

Almost surely, 2145978112 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 145978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175559160).

145978112 is an abundant number, since it is smaller than the sum of its proper divisors (205140208).

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

145978112 is an frugal number, since it uses more digits than its factorization.

145978112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 91 counting only the distinct ones).

The product of its digits is 20160, while the sum is 38.

The square root of 145978112 is about 12082.1402077612. The cubic root of 145978112 is about 526.5374277413.

The spelling of 145978112 in words is "one hundred forty-five million, nine hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 29 32 53 56 58 64 106 112 116 128 203 212 224 232 256 371 406 424 448 464 742 812 848 896 928 1484 1537 1624 1696 1792 1856 2809 2968 3074 3248 3392 3712 5618 5936 6148 6496 6784 7424 10759 11236 11872 12296 12992 13568 19663 21518 22472 23744 24592 25984 39326 43036 44944 47488 49184 51968 78652 81461 86072 89888 94976 98368 157304 162922 172144 179776 196736 314608 325844 344288 359552 393472 570227 629216 651688 688576 719104 1140454 1258432 1303376 1377152 2280908 2516864 2606752 2754304 4561816 5033728 5213504 9123632 10427008 18247264 20854016 36494528 72989056 145978112