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145354000 = 2453116607
BaseRepresentation
bin10001010100111…
…10110100010000
3101010111202012111
420222132310100
5244202312000
622231235104
73413326411
oct1052366420
9333452174
10145354000
1175059680
1240818a94
13241632ac
1415439808
15cb62cba
hex8a9ed10

145354000 has 80 divisors (see below), whose sum is σ = 383475456. Its totient is φ = 52848000.

The previous prime is 145353991. The next prime is 145354031. The reversal of 145354000 is 453541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1453540002 = 42255570632000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18697 + ... + 25303.

Almost surely, 2145354000 is an apocalyptic number.

145354000 is a gapful number since it is divisible by the number (10) 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 145354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191737728).

145354000 is an abundant number, since it is smaller than the sum of its proper divisors (238121456).

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

145354000 is a wasteful number, since it uses less digits than its factorization.

145354000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6641 (or 6625 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 145354000 is about 12056.2846681720. The cubic root of 145354000 is about 525.7859731546.

The spelling of 145354000 in words is "one hundred forty-five million, three hundred fifty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 6607 11000 13214 22000 26428 33035 52856 66070 72677 105712 132140 145354 165175 264280 290708 330350 363385 528560 581416 660700 726770 825875 1162832 1321400 1453540 1651750 1816925 2642800 2907080 3303500 3633850 5814160 6607000 7267700 9084625 13214000 14535400 18169250 29070800 36338500 72677000 145354000