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153420440 = 23519296961
BaseRepresentation
bin10010010010100…
…00001010011000
3101200200120021112
421021100022120
5303233423230
623120155452
73542023625
oct1111201230
9350616245
10153420440
1179669058
1243468b88
1325a28a34
141653934c
15d707d95
hex9250298

153420440 has 64 divisors (see below), whose sum is σ = 375948000. Its totient is φ = 56125440.

The previous prime is 153420331. The next prime is 153420451. The reversal of 153420440 is 44024351.

It is a congruent number.

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, 18560 + ... + 25520.

Almost surely, 2153420440 is an apocalyptic number.

153420440 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 153420440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187974000).

153420440 is an abundant number, since it is smaller than the sum of its proper divisors (222527560).

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

153420440 is a wasteful number, since it uses less digits than its factorization.

153420440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7020 (or 7016 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 153420440 is about 12386.3004969200. The cubic root of 153420440 is about 535.3375922695.

Adding to 153420440 its reverse (44024351), we get a palindrome (197444791).

The spelling of 153420440 in words is "one hundred fifty-three million, four hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 58 76 95 116 145 152 190 232 290 380 551 580 760 1102 1160 2204 2755 4408 5510 6961 11020 13922 22040 27844 34805 55688 69610 132259 139220 201869 264518 278440 403738 529036 661295 807476 1009345 1058072 1322590 1614952 2018690 2645180 3835511 4037380 5290360 7671022 8074760 15342044 19177555 30684088 38355110 76710220 153420440